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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quantum ruled surfaces; Ore extensions Ingalls, C.; Patrick, D.: Blowing up quantum weighted projective planes. J. algebra 254, 92-114 (2002) Rational and ruled surfaces, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Blowing up quantum weighted projective planes. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; noncommutative projective line; noncommutative curve; two-sided vector space; noncommutative symmetric algebras; arithmetic noncommutative projective line Nyman, A, The geometry of arithmetic noncommutative projective lines, J. Algebra, 414, 190-240, (2014) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry The geometry of arithmetic noncommutative projective lines | 1 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces perfect fields; simple two-sided central vector spaces; non-commutative symmetric algebras; division rings of fractions; non-commutative surfaces Hart, J.; Nyman, A.: Duals of simple two-sided vector spaces, Comm. algebra 40, 2405-2419 (2012) Bimodules in associative algebras, Vector spaces, linear dependence, rank, lineability, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Duals of simple two-sided vector spaces. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Noetherian graded rings; noncommutative projective geometry; deformations; twisted homogeneous coordinate rings J.~T. Stafford and M. van~den Bergh, \emph{Noncommutative curves and noncommutative surfaces}, Bull. Amer. Math. Soc. (N.S.) \textbf{38} (2001), no.~2, 171--216. \MR{1816070} Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Growth rate, Gelfand-Kirillov dimension, Graded rings and modules (associative rings and algebras) Noncommutative curves and noncommutative surfaces. | 1 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces two-sided vector spaces; matrix homomorphisms; noncommutative vector bundle Nyman, A; Pappacena, CJ, Two-sided vector spaces, Linear Algebra Appl., 420, 339-360, (2007) Vector spaces, linear dependence, rank, lineability, Bimodules in associative algebras, Noncommutative algebraic geometry, \(K_0\) of other rings, Computations of higher \(K\)-theory of rings Two-sided vector spaces | 1 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative geometry; Hirzebruch surfaces; deformations Bergh, M, Non-commutative \(\mathbb{P}^1\)-bundles over commutative schemes, Trans. Am. Math. Soc., 364, 6279-6313, (2012) Noncommutative algebraic geometry, Formal methods and deformations in algebraic geometry Non-commutative \(\mathbb{P}^{1}\)-bundles over commutative schemes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces representations of quivers; non-commutative algebraic geometry; non-commutative curves Chan, D., Nyman, A.: Species and noncommutative \(\mathbb {P}^{1}\)'s over non-algebraic bimodules, in progress Representations of quivers and partially ordered sets, Noncommutative algebraic geometry Species and non-commutative \(\mathbb{P}^1\)'s over non-algebraic bimodules | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces lower central series; coherent sheaves; localizations; vector bundles Jordan, D.; Orem, H., An algebro-geometric construction of lower central series of associative algebras, \textit{Int. Math. Res. Not. IMRN}, 15, 6330-6352, (2015) Rings arising from noncommutative algebraic geometry, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Noncommutative algebraic geometry, Associative rings of functions, subdirect products, sheaves of rings An algebro-geometric construction of lower central series of associative algebras. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces universal algebraic geometry; free modules over Lie algebras; free semimodules over semirings; semi-inner automorphisms; varieties of universal algebras; congruences of finitely generated free algebras; automorphism groups; free Lie modules Katsov, Y.; Lipyanski, R.; Plotkin, B., Automorphisms of categories of free modules, free semimodules, and free Lie modules, Comm. Algebra, 35, 931-952, (2007) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Rings arising from noncommutative algebraic geometry, Semirings, Module categories in associative algebras, Identities, free Lie (super)algebras, Automorphisms and endomorphisms of algebraic structures, Categories of algebras, Noncommutative algebraic geometry Automorphisms of categories of free modules, free semimodules, and free Lie modules. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces maximal orders; non-commutative cyclic covers; line bundles; moduli spaces; semi stability Chan, Daniel; Kulkarni, Rajesh S.: Moduli of bundles on exotic del Pezzo orders, Amer. J. Math. 133, No. 1, 273-293 (2011) Rings arising from noncommutative algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Noncommutative algebraic geometry, Rational and ruled surfaces Moduli of bundles on exotic del Pezzo orders. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative schemes; Morita theorem; quasicoherent sheaves; Azumaya algebras; Căldăraru's conjecture; non-commutative curves Noncommutative algebraic geometry, Sheaves in algebraic geometry, Curves in algebraic geometry, Module categories in associative algebras, Representation theory of associative rings and algebras, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Rings arising from noncommutative algebraic geometry, Associative rings of functions, subdirect products, sheaves of rings, Homological algebra in category theory, derived categories and functors Morita theory for non-commutative Noetherian schemes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative spaces; Frobenius bimodules; sheaves; Noetherian schemes; noncommutative vector bundles; categories of modules; Grothendieck categories Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Bimodules in associative algebras, Module categories in associative algebras, Associative rings of functions, subdirect products, sheaves of rings Frobenius bimodules between noncommutative spaces. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative spaces; commutator filtrations; Poisson algebras; formal completions; formal structures; finite dimensional representations; path algebras; quivers; smooth affine varieties; microlocal structure sheaves Serre, J.-P.: Galois Cohomology, Springer Monographs in Mathematics, Translated from the French by Patrick Ion, Berlin, New York Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Representations of quivers and partially ordered sets, Associative rings of functions, subdirect products, sheaves of rings Formal structures and representation spaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces integrable systems; associative geometry Tacchella, A.: An introduction to associative geometry with applications to integrable systems. J. Geom. Phys. (to appear). arXiv:1611.00644 Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Differential graded algebras and applications (associative algebraic aspects), Noncommutative algebraic geometry, Relationships between algebraic curves and integrable systems, Rings arising from noncommutative algebraic geometry, Noncommutative differential geometry An introduction to associative geometry with applications to integrable systems | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Grothendieck categories; quasi-schemes; quantum ruled surfaces; quasi-canonical divisor; intersection multiplicity Izuru Mori, Intersection theory over quantum ruled surfaces, J. Pure Appl. Algebra 211 (2007), no. 1, 25 -- 41. Noncommutative algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Rational and ruled surfaces, Rings arising from noncommutative algebraic geometry Intersection theory over quantum ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Fréchet algebra; HFG algebra; Stein space; free polydisk; quantum polydisk Pirkovskii, A.Y., Holomorphically finitely generated algebras, J. noncommut. geom., 9, 215-264, (2015) Algebras of holomorphic functions of several complex variables, Noncommutative geometry (à la Connes), Functional calculus in topological algebras, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Smash products of general Hopf actions Holomorphically finitely generated algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces finite groups of automorphisms; symplectic vector spaces; multi-parameter deformations; symplectic reflection algebras; coordinate rings; McKay correspondence; Weyl groups; double affine Hecke algebras; Harish-Chandra homomorphisms; invariant polynomial differential operators; Calogero-Moser differential operators P. Etingof and V. Ginzburg, Symplectic reflection algebras, Calogero--Moser space, and deformed Harish-Chandra homomorphism, \textit{Invent. Math.}, 147 (2002), no. 2, 243--348. Zbl 1061.16032 MR 1881922 Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Group actions on varieties or schemes (quotients), Lie algebras of vector fields and related (super) algebras, Applications of Lie algebras and superalgebras to integrable systems, Hecke algebras and their representations, Rings arising from noncommutative algebraic geometry, Deformations of associative rings, Noncommutative algebraic geometry Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; noncommutative resolution of singularities M. van den Bergh, \textit{Non-commutative crepant resolutions}, in \textit{The legacy of Niels Henrik Abel}, R. Piene and A. Laudal eds., Springer, Germany (2004). Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings Non-commutative crepant resolutions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces affine schemes; categories of quasicoherent sheaves; Serre's theorem; noncommutative localizations; structure sheaves; schematic algebras; noncommutative algebraic geometry; graded algebras; Ore sets; quantum groups; braided categories F. van Oystaeyen. \textit{Algebraic geometry for associative algebras}. Series ''Lect. Notes in Pure and Appl. Mathem.'' \textbf{232} (Marcel Dekker: New York, 2000). Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Associative rings of functions, subdirect products, sheaves of rings, Graded rings and modules (associative rings and algebras), Ore rings, multiplicative sets, Ore localization Algebraic geometry for associative algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces regular algebras; quadratic algebras; point modules; point schemes; generators; relations; quantum projective planes; global dimensions Shelton, Brad; Vancliff, Michaela, Some quantum \(\mathbf{P}^3\)s with one point, Comm. Algebra, 27, 3, 1429-1443, (1999) Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras, Associative rings of functions, subdirect products, sheaves of rings, Quantum groups (quantized enveloping algebras) and related deformations, Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting), Homological dimension in associative algebras Some quantum \(\mathbb{P}^3\)s with one point | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quantum ruled surfaces; Ore extensions Ingalls, C.; Patrick, D.: Blowing up quantum weighted projective planes. J. algebra 254, 92-114 (2002) Rational and ruled surfaces, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Blowing up quantum weighted projective planes. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; graded rings; graded modules Bell, J., Rogalski, D., Sierra, S.: The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings. Israel J. Math. 180, 461--507 (2010) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Twisted and skew group rings, crossed products, Associative rings of functions, subdirect products, sheaves of rings The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces categories of quasicoherent sheaves; categories of graded modules; noncommutative projective algebraic geometry; Koszul algebras; weighted projective spaces; Yoneda algebras; Auslander regular algebras; categories of torsionfree sheaves; Serre duality; almost split sequences Marti\´, R.; Villa, Nez: Serre duality for generalized Auslander regular algebras. Contemp. math. 229, 237-263 (1998) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Associative rings of functions, subdirect products, sheaves of rings, Quadratic and Koszul algebras, Graded rings and modules (associative rings and algebras), Module categories in associative algebras Serre duality for generalized Auslander regular algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Poisson algebras; Calabi-Yau algebras Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Deformations of associative rings, Graded rings and modules (associative rings and algebras) A new family of Poisson algebras and their deformations | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces graded rings; noncommutative geometry D. Rogalski and J. J. Zhang, Canonical maps to twisted rings, Mathematische Zeitschrift 259 (2008), 433--455. Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension Canonical maps to twisted rings. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non commutative algebraic geometry; surface; blow up; graded algebras of Gelfand-Kirillov dimension three; Abelian categories; Rees algebra; pseudo-compact rings; completion functors; derived categories; Del Pezzo surfaces; quantum version of projective three space M. Van~den Bergh, \emph{Blowing up of non-commutative smooth surfaces}, Mem. Amer. Math. Soc. \textbf{154} (2001), no.~734, x+140. \MR{1846352 (2002k:16057)} Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics Blowing up of non-commutative smooth surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative regular rings; cyclic quotient singularities; rational double points; rings of invariants; local dualities; dualizing complexes; Gorenstein singularities; Cohen-Macaulay singularities Chan, D.: Noncommutative rational double points. J. algebra 232, 725-766 (2000) Rings arising from noncommutative algebraic geometry, Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting), Rational and ruled surfaces, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Actions of groups and semigroups; invariant theory (associative rings and algebras), Valuations, completions, formal power series and related constructions (associative rings and algebras), Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Representation type (finite, tame, wild, etc.) of associative algebras, Cohen-Macaulay modules in associative algebras Noncommutative rational double points | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Vancliff, M.: The interplay of algebra and geometry in the setting of regular algebras. In: Commutative Algebra and Noncommutative Algebraic Geometry, vol 6, pp. 371-390. MSRI Publications (2015) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Quadratic and Koszul algebras, Complete intersections The interplay of algebra and geometry in the setting of regular algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces flat localizations of Abelian categories; structure presheaves of modules; quantized algebras; noncommutative schemes in categories; left spectrum; maximal left ideals; completely prime left ideals; categories of rings; Levitzki radical; quasi-affine schemes; projective spectra; quantized rings; quantum planes; algebra of \(q\)-differential operators; Weyl algebras; quantum envelopes; coordinate rings; generalized Weyl algebras; skew polynomial rings; Serre subcategories; Grothendieck categories; hyperbolic rings; skew PBW monads; monoidal category; Kac-Moody and Virasoro Lie algebras; semigroup-graded monads; Gabriel-Krull dimension Rosenberg, A.L.: Algebraic Geometry Representations of Quantized Algebras. Kluwer Academic Publishers, Dordrecht, Boston London (1995) Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative algebraic geometry, Torsion theories; radicals on module categories (associative algebraic aspects), Rings of differential operators (associative algebraic aspects), Local categories and functors, Abelian categories, Grothendieck categories, Graded rings and modules (associative rings and algebras), Associative rings of functions, subdirect products, sheaves of rings, ``Super'' (or ``skew'') structure, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Abstract manifolds and fiber bundles (category-theoretic aspects) Noncommutative algebraic geometry and representations of quantized algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative quasi-resolution; Artin-Schelter regular algebra; maximal Cohen-Macaulay module; pretzeled quivers Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry Maximal Cohen-Macaulay modules over a noncommutative 2-dimensional singularity | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quantum projective planes; homogeneous coordinate rings; graded algebras; Hilbert series; regular algebras; schemes; sheaves of algebras Mori, I, The center of some quantum projective planes, J. Algebra, 204, 15-31, (1998) Graded rings and modules (associative rings and algebras), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Center, normalizer (invariant elements) (associative rings and algebras) The center of some quantum projective planes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Introduction | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces shifted noncommutative symplectic structure; Calabi-Yau algebra Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Poisson manifolds; Poisson groupoids and algebroids Calabi-Yau algebras and the shifted noncommutative symplectic structure | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Artin-Schelter algebra; Koszul duality; cohomology; Batalin-Vilkovisky algebra Noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Rings arising from noncommutative algebraic geometry Koszul duality and the Hochschild cohomology of Artin-Schelter regular algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces cocycle twists; noncommutative geometry; Sklyanin algebras Davies, Andrew, Cocycle twists of 4-dimensional Sklyanin algebras, J. Algebra, 457, 323-360, (2016) Twisted and skew group rings, crossed products, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Actions of groups and semigroups; invariant theory (associative rings and algebras) Cocycle twists of 4-dimensional Sklyanin algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces nonnoetherian ring; nonnoetherian geometry; dimer algebra; Calabi-Yau singularity Noncommutative algebraic geometry, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Rings arising from noncommutative algebraic geometry, Dimension theory, depth, related commutative rings (catenary, etc.) On the central geometry of nonnoetherian dimer algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative projective geometry; ample divisor; automorphism; GK-dimension Dennis S. Keeler, Criteria for \?-ampleness, J. Amer. Math. Soc. 13 (2000), no. 3, 517 -- 532. Noncommutative algebraic geometry, Growth rate, Gelfand-Kirillov dimension, Vanishing theorems in algebraic geometry, Divisors, linear systems, invertible sheaves, Automorphisms of surfaces and higher-dimensional varieties, Rings arising from noncommutative algebraic geometry Criteria for \(\sigma\)-ampleness | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; noncommutative curves Nyman, A, Noncommutative tsen's theorem in dimension one, J. Algebra, 434, 90-114, (2015) Noncommutative algebraic geometry, Special algebraic curves and curves of low genus, Rings arising from noncommutative algebraic geometry Noncommutative Tsen's theorem in dimension one | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative homogeneous coordinate ring; twisted homogeneous coordinate ring; iterated Ore extension; order six automorphism Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras) A non-commutative homogeneous coordinate ring for the degree six del Pezzo surface | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative tori; Anasov automorphisms; C*-algebras; K-theory; cluster C*-algebras; Sklyanin algebras; AF-algebras; UHF-algebras; Hecke eigenform; continuous geometries; Connes geometries; index theory; Kasparov KK-theory; Jones polynomials; quantum groups; Hopf algebra; noncommutative algebraic geometry; deformation quantization Research exposition (monographs, survey articles) pertaining to algebraic geometry, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Categories in geometry and topology Noncommutative geometry. A functorial approach | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative crepant resolution; Rees ring; homologically homogeneous rings; tame orders J. T. Stafford and M. Van den Bergh, Noncommutative resolutions and rational singularities, Michigan Math. J. 57 (2008), 659-674. Special volume in honor of Melvin Hochster. Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Rings arising from noncommutative algebraic geometry, Homological dimension (category-theoretic aspects) Noncommutative resolutions and rational singularities | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Jacobi algebra; quasi-homogeneous potential; Jordan-Chevalley decomposition; noncommutative differential calculus Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Singularities in algebraic geometry Quasi-homogeneity of potentials | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative matrix polynomial; factorization; singulärstellensatz; nullstellensatz; resolvable ideal; free singularity locus; free algebra Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Real algebra Factorization of noncommutative polynomials and Nullstellensätze for the free algebra | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Noncommutative algebraic geometry, de Rham cohomology and algebraic geometry, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Rings arising from noncommutative algebraic geometry, Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.) Spectral algebras and non-commutative Hodge-to-de Rham degeneration | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative resolution; Bertini theorem Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Rings arising from noncommutative algebraic geometry A non-commutative Bertini theorem | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces maximal orders; Calabi--Yau manifolds D. Chan, R. Kulkarni, Numerically Calabi-Yau orders on surfaces, J. London Math. Soc., to appear. Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Numerically Calabi-Yau orders on surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Ore extension; fibers; noncommutative algebraic geometry Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Fibrations, degenerations in algebraic geometry Fibers in Ore extensions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hilbert series; Artin-Schelter regular algebras; enveloping algebras; generators Fløystad, G.; Vatne, J. E., Artin-Schelter regular algebras of dimension five, (Algebras, Geometry and Mathematical Physics, Banach Center Publ., vol. 93, (2011)), 19-39 Rings arising from noncommutative algebraic geometry, Syzygies, resolutions, complexes in associative algebras, Noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Graded rings and modules (associative rings and algebras) Artin-Schelter regular algebras of dimension five. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic curve; divisor class group; degree map; Riemann-Roch theorem; Weil conjectures Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Non-commutative curves and their zeta functions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces commutator filtration; Poisson algebra; \(d\)-smooth algebra Cortiñas, G, The structure of smooth algebras in kapranov's framework for noncommutative geometry, J. Algebra, 281, 679-694, (2004) Noncommutative algebraic geometry, Local deformation theory, Artin approximation, etc., Rings arising from noncommutative algebraic geometry The structure of smooth algebras in Kapranov's framework for noncommutative geometry | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative geometry Smith, S. Paul, Maps between non-commutative spaces, Trans. Amer. Math. Soc., 356, 7, 2927-2944, (2004) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Maps between non-commutative spaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces birationally commutative algebra; centerless Virasoro algebra; infinite dimensional Lie algebra; non-noetherian universal enveloping algebra; Witt algebra; birationally commutative projective surfaces Sierra, S.S., Walton, Ch.: The universal enveloping algebra of Witt algebra is not noetherian. ArXiv:1304.0114 [math.RA] Noncommutative algebraic geometry, Universal enveloping algebras of Lie algebras, Rings arising from noncommutative algebraic geometry, Virasoro and related algebras The universal enveloping algebra of the Witt algebra is not Noetherian | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces nondegeneracy of potentials on quivers; McKay quivers De Völcsey, L. De Thanhoffer; Den Bergh, M. Van: Explicit models for some stable categories of maximal Cohen-Macaulay modules Representations of quivers and partially ordered sets, Rings arising from noncommutative algebraic geometry, Rational and ruled surfaces Some new examples of nondegenerate quiver potentials. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symplectic orbifold; quantization; Dunkl operator; deformation G. Halbout, X. Tang, Dunkl operator and quantization of Z/2-singularity. J. für die Reine und Ang. Mat. 2012(673), 209-235 Geometric quantization, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Lie algebras of linear algebraic groups Dunkl operator and quantization of \(\mathbb Z_2\)-singularity | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quantization; deformation; Harrison cohomology; singular curves Frønsdal, C.; Kontsevich, M., Quantization on curves, Lett. Math. Phys., 79, 109-129, (2007) Deformation quantization, star products, Noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Associative rings of functions, subdirect products, sheaves of rings, Geometry and quantization, symplectic methods Quantization on curves. With an appendix by Maxim Kontsevich | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symplectic vector spaces; symplectic reflection algebras; deformations of skew group rings; Poisson algebras; prime ideals Martino M.: The Associated variety of a Poisson Prime Ideal. J. London Math. Soc. 72(2), 110--120 (2005) Noncommutative algebraic geometry, Filtered associative rings; filtrational and graded techniques, Prime and semiprime associative rings, Rings arising from noncommutative algebraic geometry, Deformations of associative rings, Poisson algebras The associated variety of a Poisson prime ideal | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces line scheme; point scheme; elliptic curve; regular algebra; Plücker coordinates Tomlin, D., Vancliff, M.: The one-dimensional line scheme of a family of quadratic quantum \({\mathbb{P}}^{3}\)s (2017) \textbf{(preprint)}. arXiv:1705.10426 Noncommutative algebraic geometry, Quadratic and Koszul algebras, Rings arising from noncommutative algebraic geometry The one-dimensional line scheme of a family of quadratic quantum \(\mathbb{P}^3\)s | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces mirror symmetry; Gromov-Witten invariants; noncommutative varieties; Batalin-Vilkovisky formalism Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Mirror symmetry (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds EA-matrix integrals of associative algebras and equivariant localization | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces central extensions; Artin-Schelter regular algebras; global dimension; central graded elements Cassidy, T.: Central extensions of stephenson's algebras. Comm. algebra 31, No. 4, 1615-1632 (2003) Graded rings and modules (associative rings and algebras), Rings arising from noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Filtered associative rings; filtrational and graded techniques, Noncommutative algebraic geometry Central extensions of Stephenson's algebras. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric ring; noncommutative ring; skew PBW extension Ordinary and skew polynomial rings and semigroup rings, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Ring-theoretic aspects of quantum groups Skew PBW extensions over symmetric rings | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Artin-Schelter regular algebras; graded algebras; global dimension; noncommutative projective geometry DOI: 10.1090/conm/562/11139 Rings arising from noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry Regular algebras of dimension 4 with 3 generators. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces graded isolated singularity; pertinency; group action; Auslander theorem; Gelfand-Kirillov dimension Singularities of surfaces or higher-dimensional varieties, Noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Twisted and skew group rings, crossed products, Rings arising from noncommutative algebraic geometry, Actions of groups and semigroups; invariant theory (associative rings and algebras) Noncommutative cyclic isolated singularities | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces deformation theory; formal methods; representation theory Laudal O., Algebraic Geometry 687 pp 31-- (1978) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Noncommutative algebraic geometry | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative projective geometry; noncommutative surfaces; Sklyanin algebras; Noetherian graded rings; noncommutative blowing up and blowing down; Castelnuovo's contraction theorem Noncommutative algebraic geometry, Rational and birational maps, Elliptic curves, Noetherian rings and modules (associative rings and algebras), Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Abelian categories, Grothendieck categories Ring-theoretic blowing down. I. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative desingularization; sparse spectral sequence; simple representations; tautological Koszul complex; maximal Cohen-Macaulay; quivers; Clifford algebra Abhyankar, S.: Uniformization in a \( p\)-cyclic extension of a two dimensional regular local domain of residue field characteristic \( p\) . Festschrift zur Gedächtnisfeier für Karl Weierstrass 1815 - 1965, Wissenschaftliche Abhandlungen des Landes Nordrhein-Westfalen \textbf{33} (1966), 243-317, Westdeutscher Verlag, Köln und Opladen Noncommutative algebraic geometry, Cohen-Macaulay modules, Global theory and resolution of singularities (algebro-geometric aspects), Riemann-Roch theorems, Rings arising from noncommutative algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Representations of quivers and partially ordered sets Non-commutative desingularization of determinantal varieties. I | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces graded skew Clifford algebras; graded Clifford algebras; Artin-Schelter regular algebras; noncommutative algebraic geometry; complete intersections; quadratic algebras Cassidy, T.; Vancliff, M., Corrigendum to ``generalizations of graded Clifford algebras and of complete intersections'', Journal of the London Mathematical Society, 90, 631-636, (2014) Rings arising from noncommutative algebraic geometry, Quadratic and Koszul algebras, Ordinary and skew polynomial rings and semigroup rings, Clifford algebras, spinors, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras) Corrigendum: ``Generalizations of graded Clifford algebras and of complete intersections'' | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces categories of modules; localizations in noncommutative geometry; Ore localizations; Ore conditions; localizations in Abelian categories; Cohn localizations; survey Škoda, Z.: Noncommutative localization in noncommutative geometry, Noncommutative localization in algebra and topology, 220-313 (2006) Torsion theories; radicals on module categories (associative algebraic aspects), Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Ore rings, multiplicative sets, Ore localization, Localization and associative Noetherian rings, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Localization of categories, calculus of fractions Noncommutative localization in noncommutative geometry. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; algebras satisfying a polynomial identity; quantum groups; schematic algebras; regular algebras Noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations, Rings with polynomial identity, Rings arising from noncommutative algebraic geometry Noncommutative algebraic geometry: From pi-algebras to quantum groups | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces equational domain; variety of \(\Omega\)-groups; anticommutative \(\Omega\)-group; Zariski topology Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Free algebras On the Zariski topology of \(\Omega\)-groups | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Collections of abstracts of lectures, Proceedings of conferences of miscellaneous specific interest, Noncommutative algebraic geometry, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to associative rings and algebras, Rings arising from noncommutative algebraic geometry Interactions between algebraic geometry and noncommutative algebra. Abstracts from the workshop held May 27 -- June 2, 2018 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces orders; cyclic covering Daniel Chan, Noncommutative cyclic covers and maximal orders on surfaces, Adv. Math. 198 (2005), no. 2, 654 -- 683. Brauer groups of schemes, Rational and ruled surfaces, Noncommutative algebraic geometry Noncommutative cyclic covers and maximal orders on surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rational Cherednik algebras; irreducible representations; deformed preprojective algebras Frédéric Latour, Representations of rational Cherednik algebras of rank 1 in positive characteristic , J. Pure Appl. Alg. 195 (2005), 97-112. Representations of orders, lattices, algebras over commutative rings, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Representations of rational Cherednik algebras of rank one in positive characteristic. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Artin-Schelter regular; enveloping algebra; graded Lie algebra; Hilbert series Rings arising from noncommutative algebraic geometry, Syzygies, resolutions, complexes in associative algebras, Noncommutative algebraic geometry Artin-Schelter regular algebras of dimension five | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces graded skew Clifford algebras; graded Clifford algebras; Artin-Schelter regular algebras; noncommutative algebraic geometry; complete intersections; quadratic algebras Cassidy, T., Vancliff, M.: Generalizations of Graded Clifford algebras and of complete intersections. J. Lond. Math. Soc. \textbf{81}, 91-112 (2010). (Corrigendum: \textbf{90}(2), 631-636 (2014)) Rings arising from noncommutative algebraic geometry, Quadratic and Koszul algebras, Ordinary and skew polynomial rings and semigroup rings, Clifford algebras, spinors, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras) Generalizations of graded Clifford algebras and of complete intersections. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative deformation; simple collection; exceptional object; spherical object; Calabi-Yau threefold; versal deformation; non-commutative parameter ring; obstruction theory; triangulated category; functorial twist Noncommutative algebraic geometry, Local deformation theory, Artin approximation, etc., Calabi-Yau manifolds (algebro-geometric aspects), Rings arising from noncommutative algebraic geometry, Abelian categories, Grothendieck categories, Deformations of submanifolds and subspaces On multi-pointed non-commutative deformations and Calabi-Yau threefolds | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces continuous morphism; flat localization; continuous monad; non-commutative schemes; noncommutative relative quasi-schemes; scheme morphisms; Čech cohomology; invertible sheaves on skew projective spaces Rosenberg, A.L.: Noncommutative schemes. Comp. Math. 112, 93--125 (1995) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Noncommutative schemes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(NC\)-manifolds; \(NC\)-schemes; commutativization; noncommutative power series; Feynman-Maslov calculus Kapranov M.: Noncommutative geometry based on commutator expansions. J. Reine Angew. Math. 505, 73--118 (1998) Noncommutative algebraic geometry, Noncommutative differential geometry, Associative rings of functions, subdirect products, sheaves of rings Noncommutative geometry based on conductor expansions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symplectic reflection algebras; Poisson orders; Kleinian singularities; symplectic leaves Brown, K. A., Symplectic reflection algebras, Irish Math. Soc. Bull., 50, 27-49, (2003) Noetherian rings and modules (associative rings and algebras), Poisson algebras, Poisson manifolds; Poisson groupoids and algebroids, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Group actions on varieties or schemes (quotients), Rings arising from noncommutative algebraic geometry, Twisted and skew group rings, crossed products, Deformations of associative rings Symplectic reflection algebras. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces pure motive; standard conjectures; Artin motive; noncommutative geometry Ramdorai, S.; Plazas, J.; Marcolli, M.: Introduction to motives. Noncommutative geometry and physics: renormalisation, motives, index theory, 41-88 (2011) (Equivariant) Chow groups and rings; motives, Cohomology theory for linear algebraic groups, \(K\)-theory and homology; cyclic homology and cohomology, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Introduction to motives. With an appendix by Matilde Marcolli | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces cohomology; dualities; schematic algebras; graded algebras; Serre's theorem; categories of quasicoherent sheaves; categories of graded modules; noncommutative projective schemes; graded rings; cohomological behaviour; Auslander-Gorenstein algebras (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Noncommutative algebraic geometry, Schemes and morphisms, Graded rings and modules (associative rings and algebras), Associative rings of functions, subdirect products, sheaves of rings Schematic algebras and the Auslander-Gorenstein property | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces sheaf-theoretic methods in noncommutative ring theory; noncommutative analogs; prime spectrum; structure sheaf; central extensions; radical functors; localization; hereditary torsion theories; symmetric radicals; second layer condition; FBN rings; strongly normalizing extensions; localizations at prime ideals; stable radicals; Artin-Rees property; localization functors; compatibility; Zariski topology; stable symmetric radicals; centralizing extension; strongly normalizing extension; ringed spaces Bueso, J. L., Jara, P., and Verschoren, A., Compatibility, stability and sheaves: un ménage à trois, monograph, to appear. Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Torsion theories; radicals on module categories (associative algebraic aspects), Associative rings of functions, subdirect products, sheaves of rings, Localization and associative Noetherian rings, Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Module categories in associative algebras, General radicals and associative rings, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Compatibility, stability, and sheaves | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Mori, I.: Noncommutative projective schemes and point schemes. In: Algebras, Rings and Their Representations, pp. 215-239. World Scientific, Hackensack (2006) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Noncommutative projective schemes and point schemes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces twisted Segre product; noncommutative graded isolated singularity; densely graded algebra; noncommutative quadric surface; maximal Cohen-Macaulay module Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Cohen-Macaulay modules in associative algebras Twisted Segre products | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Jordan plane; finite-dimensional representations; representation varieties; Golod-Shafarevich complexes; irreducible components; noncommutative complete intersections; representation spaces; representational complete intersections Andruskiewitsch, N., Angiono I., Heckenberger, I.: Liftings of Jordan and super Jordan planes. In: Proceedings of the Edinburgh Mathematical Society, series II, to appear. arXiv:1512.09271 Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Representations of orders, lattices, algebras over commutative rings, Quadratic and Koszul algebras Representation spaces of the Jordan plane. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces point modules; constacted points; stable scheme; naïve blowing up; strongly noetherian algebras; connected graded algebras; cg algebras Laumon, G., Moret-Bailly, L.: Champs algébriques. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 39, Springer, Berlin (2000) Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras) A class of noncommutative projective surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative projective geometry; noncommutative projective surface; noetherian graded ring; maximal order; ADC data; geometric algebras doi:10.1016/j.jalgebra.2010.05.005 Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry Geometric algebras on projective surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebras; cellular resolutions; crepant resolutions; bimodule resolutions; toric algebras; dimer models; smooth toric Fano threefolds; tilting bundles Craw, A; Quintero Vélez, A, Cellular resolutions of noncommutative toric algebras from superpotentials, Adv. Math., 229, 1516-1554, (2012) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Syzygies, resolutions, complexes in associative algebras, Representations of quivers and partially ordered sets Cellular resolutions of noncommutative toric algebras from superpotentials. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative projective geometry; Sklyanin algebras; noncommutative minimal models Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Elliptic curves, Minimal model program (Mori theory, extremal rays) Some noncommutative minimal surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Grothendieck category; noncommutative geometry; schemes; topology DOI: 10.1023/A:1016070804549 Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Category-theoretic methods and results in associative algebras (except as in 16D90) Grothendieck representations of categories and canonical noncommutative topologies | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rings of differential operators; genus; noncommutative surfaces; birational invariants Noncommutative algebraic geometry, Rings of differential operators (associative algebraic aspects), Rings arising from noncommutative algebraic geometry Embeddings of quotient division algebras of rings of differential operators | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative geometry; non-commutative projective bundle; Riemann-Roch theorem; adjunction formula Adam Nyman, Serre finiteness and Serre vanishing for non-commutative \Bbb P\textonesuperior -bundles, J. Algebra 278 (2004), no. 1, 32 -- 42. Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Serre finiteness and Serre vanishing for non-commutative \(\mathbb P^1\)-bundles | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces graded algebras; Ore extensions; Clifford algebras; regular algebras Nafari, M; Vancliff, M; Zhang, Jun, Classifying quadratic quantum \(\mathbb{P}^2\)s by using graded skew Clifford algebras, J. Algebra, 346, 152-164, (2011) Rings arising from noncommutative algebraic geometry, Quadratic and Koszul algebras, Clifford algebras, spinors, Noncommutative algebraic geometry, Ordinary and skew polynomial rings and semigroup rings, Graded rings and modules (associative rings and algebras) Classifying quadratic quantum \(\mathbb P^2\)s by using graded skew Clifford algebras. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces graded modules; Hilbert series; rank functions; global dimension; cohomological dimensions; Auslander-Gorenstein algebras; regular algebras; Picard groups; Grothendieck groups I. MORI AND S. P. SMITH, Bézout's theorem for noncommutative projective spaces, J. Pure Appl. Algebra 157 (2001), 279-299. Graded rings and modules (associative rings and algebras), Homological dimension in associative algebras, Noncommutative algebraic geometry, Grothendieck groups, \(K\)-theory, etc., Rings arising from noncommutative algebraic geometry Bézout's theorem for non-commutative projective spaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces GK-dimension; graded rings; noncommutative projective geometry; noncommutative surfaces; birational geometry; twisted section ring; stable birational map D. Rogalski, GK-dimension of birationally commutative surfaces, Transactions of the American Mathematical Society 361 (2009), 5921--5945. Noncommutative algebraic geometry, Rational and birational maps, Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras) GK-dimension of birationally commutative surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Koszul Artin-Schelter regular algebras; skew polynomial algebras; Calabi-Yau algebras; superpotentials; PBW-deformations; Yoneda Ext-algebras He, J-W; Oystaeyen, F.; Zhang, Y-H, Skew polynomial algebras with coefficients in Koszul Artin-Schelter regular algebras, J. Algebra, 390, 231-249, (2013) Rings arising from noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Ordinary and skew polynomial rings and semigroup rings, Quadratic and Koszul algebras, Homological functors on modules (Tor, Ext, etc.) in associative algebras Skew polynomial algebras with coefficients in Koszul Artin-Schelter regular algebras. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Noncommutative algebraic geometry, Rational and ruled surfaces, Minimal model program (Mori theory, extremal rays) Classification of del Pezzo orders with canonical singularities | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hopf algebras; triangular \(n \times n\) matrices; group valued functor; comultiplication; bigebra; antipode; anti-homomorphism; generators; Hopf ideals; deformations; unipotent algebraic group schemes; quantum universal enveloping algebra Gerritzen, L.: On Hopf algebras related to triangular matrices. Arch. math. 63, 302-310 (1994) Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative algebraic geometry, Endomorphism rings; matrix rings, Group schemes On Hopf algebras related to triangular matrices | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Rogalski, D., Noncommutative projective geometry, Noncommutative algebraic geometry, 13-70, (2016), Cambridge University Press: Cambridge University Press, New York Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Noncommutative projective geometry | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces graded isolated singularities; graded maximal Cohen-Macaulay modules; AS-Gorenstein algebras; Serre functors; cluster tilting objects; Veronese subalgebras Ueyama, Kenta, Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities, J. Algebra, 383, 85-103, (2013) Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Cohen-Macaulay modules in associative algebras, Noncommutative algebraic geometry, Singularities in algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces right ideals; Weyl algebras; endomorphisms; sheaves; natural actions; weighted quantum projective planes Berest, Y., Wilson, G.: Ideal classes of the Weyl algebra and noncommutative projective geometry. Int. Math. Res. Not. 2002(26), 1347--1396 (2002) (with an appendix by Michel Van den Bergh) Ordinary and skew polynomial rings and semigroup rings, Ideals in associative algebras, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Automorphisms and endomorphisms Ideal classes of the Weyl algebra and noncommutative projective geometry (with an appendix by Michel Van den Bergh). | 0 |
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