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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 trigonometric Cherednik algebras; irreducible representations; deformed preprojective algebras Representations of orders, lattices, algebras over commutative rings, Deformations of associative rings, Hecke algebras and their representations, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Representations of trigonometric 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 non-commutative algebraic geometry; homogeneous coordinate rings; projective varieties; Noetherian subrings; closed subschemes; idealizers doi:10.1090/S0002-9947-2010-05110-4 Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Group actions on varieties or schemes (quotients), Graded rings and modules (associative rings and algebras) Geometric idealizer 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 graded Clifford algebras; skew Clifford algebras; twists of Clifford algebras; regular algebras; quadric systems; quadratic algebras Nafari, M.; Vancliff, M., Graded skew Clifford algebras that are twists of graded Clifford algebras, Communications in Algebra, 43, 719-725, (2015) 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) Graded skew Clifford algebras that are twists of graded 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 noncommutative crepant resolution; noncommutative quasi-resolution; Morita equivalent; derived equivalent; Auslander-Gorenstein algebra; Auslander regular algebra; Cohen-Macaulay algebra; dimension function Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Homological functors on modules (Tor, Ext, etc.) in associative algebras, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry Noncommutative quasi-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 base points; Clifford algebras; complete intersections; Gorenstein regular algebras; skew polynomial rings; quadrics Vancliff, On the notion of complete intersection outside the setting of skew polynomial rings, Comm. Algebra Rings arising from noncommutative algebraic geometry, Ordinary and skew polynomial rings and semigroup rings, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Complete intersections, Clifford algebras, spinors, Noncommutative algebraic geometry, Universal enveloping (super)algebras, Graded rings and modules (associative rings and algebras) On the notion of complete intersection outside the setting of skew polynomial 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 smooth algebras; smooth non-commutative geometry; non-commutative spaces Kontsevich, Maxim; Rosenberg, Alexander L., Noncommutative smooth spaces, (The Gelfand Mathematical Seminars, 1996-1999, Gelfand Math. Sem., (2000), Birkhäuser Boston Boston, MA), 85-108 Noncommutative algebraic geometry, Noncommutative geometry (à la Connes), Rings arising from noncommutative algebraic geometry Noncommutative smooth 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 Artin-Schelter regular; Jordan plane; non-Noetherian; universal enveloping algebra; Witt algebra Sierra, S.J.; Walton, C., Maps from the enveloping algebra of the positive Witt algebra to regular algebras, Pacific J. math., 284, 2, 475-509, (2016) Noncommutative algebraic geometry, Universal enveloping algebras of Lie algebras, Rings arising from noncommutative algebraic geometry, Virasoro and related algebras Maps from the enveloping algebra of the positive Witt algebra to 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 Poisson structure; Calabi-Yau algebra; cyclic homology (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Noncommutative algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Quadratic and Koszul algebras, Coalgebras and comodules; corings, Rings arising from noncommutative algebraic geometry The derived non-commutative Poisson bracket on Koszul Calabi-Yau 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 partial module structures; positive filtrations; absolutely irreducible fragments; central simple algebras; sections; microstructure sheaves; Zariski filtered rings; projective schemes; graded rings; Rees rings; quantum noncommutative geometry; filtered modules DOI: 10.1080/00927879608825560 Valuations, completions, formal power series and related constructions (associative rings and algebras), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Schemes and morphisms, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics Projective aspects of fragments over filtered 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 simple modules; topologies; Noetherian modules; complete categories; Abelian categories DOI: 10.1007/BF02807203 Simple and semisimple modules, primitive rings and ideals in associative algebras, Abelian categories, Grothendieck categories, Topological and ordered rings and modules, Noncommutative algebraic geometry, Associative rings of functions, subdirect products, sheaves of rings, Module categories in associative algebras Noetherianity of the space of irreducible representations. | 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 torus; tilting; vector bundle on non-commutative \(2\)-torus Polishchuk, A.: Holomorphic bundles on \(2\)-dimensional noncommutative toric orbifolds. In: Consani, C., Marcolli, M. (eds.) Noncommutative Geometry and Number Theory, pp. 341-359. Vieweg, Wiesbaden (2006) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Holomorphic bundles and generalizations Holomorphic bundles on 2-dimensional noncommutative toric orbifolds | 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 vanishing theorems; noetherian graded rings; noncommutative projective geometry Dennis S. Keeler, ``Ample filters of invertible sheaves'', J. Algebra259 (2003) no. 1, p. 243-283 Noncommutative algebraic geometry, Vanishing theorems in algebraic geometry, Divisors, linear systems, invertible sheaves, Rings arising from noncommutative algebraic geometry Ample filters of invertible 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 non-commutative algebraic geometry; quantum ruled surfaces; classification Mori, I.: On the classification of decomposable quantum ruled surfaces, Ring Theory 2007. World Sci. Publ., 126-140 (2009) Rational and ruled surfaces, Noncommutative algebraic geometry On the classification of decomposable 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 complex semisimple groups; bounded derived categories; triangulated categories; Springer resolutions; nilpotent cones; equivariant coherent sheaves; quantized enveloping algebras at roots of unity; principal blocks; perverse sheaves; Langlands dual; loop Grassmannian; cohomology; character formulas; intersection homology sheaves Arkhipov, Sergey; Bezrukavnikov, Roman; Ginzburg, Victor, Quantum groups, the loop Grassmannian, and the Springer resolution, J. Amer. Math. Soc., 0894-0347, 17, 3, 595\textendash 678 pp., (2004) Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Cohomology theory for linear algebraic groups Quantum groups, the loop Grassmannian, and the Springer resolution. | 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 scheme; quantum plane Algebraic moduli problems, moduli of vector bundles, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry Hilbert schemes for quantum planes are projective | 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 Weyl algebras; graded module categories; graded principal ideal domains; quotient stacks; quasi-coherent sheaves; rings of differential operators; affine group schemes; coordinate rings Smith, S. Paul, A quotient stack related to the Weyl algebra, J. Algebra, 345, 1, 1-48, (2011) Graded rings and modules (associative rings and algebras), Rings of differential operators (associative algebraic aspects), Generalizations (algebraic spaces, stacks), Noncommutative algebraic geometry, Curves in algebraic geometry, Module categories in associative algebras, Group actions on varieties or schemes (quotients), Principal ideal rings, Rings arising from noncommutative algebraic geometry A quotient stack related to the Weyl 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 Hilbert series; Artin-Schelter regular algebras; generators Zhou, G-S; Lu, D-M, Artin-Schelter regular algebras of dimension five with two generators, J Pure Appl Algebra, 218, 937-961, (2014) 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), Syzygies, resolutions, complexes in associative algebras Artin-Schelter regular algebras of dimension five with two 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 Collections of abstracts of lectures, Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to associative rings and algebras, Noncommutative algebraic geometry, Finite-dimensional division rings, Rings arising from noncommutative algebraic geometry, Growth rate, Gelfand-Kirillov dimension Interactions between algebraic geometry and noncommutative algebra. Abstracts from the workshop held May 18--24, 2014. | 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 graded Clifford algebras; Heisenberg group; quantum spaces; Artin-Schelter-regular algebras; Sklyanin algebras DOI: 10.1080/00927872.2014.942423 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) Graded Clifford algebras of prime global dimension with an action of \(H_p\). | 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 moduli spaces; noncommutative projective geometry; symplectic structure Nevins T.A., Stafford J.T., Sklyanin algebras and Hilbert schemes of points, Adv. Math., 2007, 210(2), 405--478 Noncommutative algebraic geometry, Parametrization (Chow and Hilbert schemes), Fine and coarse moduli spaces, Free, projective, and flat modules and ideals in associative algebras, Rings arising from noncommutative algebraic geometry, Symplectic structures of moduli spaces Sklyanin algebras and Hilbert schemes of 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 weighted projective lines,representation theory, finite dimensional algebras, automorphic forms, coherent sheaves, tilting objects Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Noncommutative algebraic geometry, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Rings arising from noncommutative algebraic geometry On tubular tilting objects in the stable category of vector 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 non-commutative projective scheme; Lie algebroid; ring of differential operators; Koszul duality; tilting theory Noncommutative algebraic geometry, Derived categories and associative algebras, Universal enveloping algebras of Lie algebras, Rings of differential operators (associative algebraic aspects), Rings arising from noncommutative algebraic geometry The Beilinson equivalence for 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 quantum principal bundle; quantum space; quantum homogeneous projective variety; quantized coordinate ring; sheaf of comodule algebras Noncommutative algebraic geometry, Noncommutative geometry (à la Connes), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Rings arising from noncommutative algebraic geometry, Quantum groups (quantized function algebras) and their representations, Ring-theoretic aspects of quantum groups Quantum principal bundles on projective bases | 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 birational geometry; deformation theory; noncommutative deformation theory; noncommutative deformation algebra; contraction algebra Formal methods and deformations in algebraic geometry, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Birational geometry, Vector bundles on curves and their moduli Contractions and 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 non commutative projective geometry; morphisms to projective bundles; functor of points; symmetric algebras; bimodules Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Morphisms to noncommutative projective lines | 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 Penrose tilings; skyscraper sheaves; AF-algebra; Grothendieck group; Penrose sequence; connected algebra; Bratteli diagram Smith, SP, The space of Penrose tilings and the non-commutative curve with homogeneous coordinate ring \(####\), J. Noncommut. Geom., 8, 541-586, (2014) Noncommutative algebraic geometry, Grothendieck groups, \(K\)-theory, etc., von Neumann regular rings and generalizations (associative algebraic aspects), Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), \(K_0\) as an ordered group, traces, Tilings in \(2\) dimensions (aspects of discrete geometry), Tilings in \(n\) dimensions (aspects of discrete geometry), Noncommutative geometry (à la Connes) The space of Penrose tilings and the noncommutative curve with homogeneous coordinate ring \(k\langle x,y \rangle/(y^2)\) | 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; line modules; centers; smooth quadrics Vancliff, M; Rompay, K, Four-dimensional regular algebras with point scheme a nonsingular quadric in \(\mathbb{P}^3\), Commun. Algebra, 28, 2211-2242, (2000) Quadratic and Koszul algebras, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras) Four-dimensional regular algebras with point scheme, a nonsingular quadric in \(\mathbb{P}^3\) | 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 curve; tubular exceptional curves; tilting bundles; tubular canonical algebras; slope category; Grothendieck group; generic modules; coherent sheaves D. Kussin, \emph{Non-isomorphic derived-equivalent tubular curves and their associated tubular algebras}, J. Algebra \textbf{226} (2000), no.~1, 436--450. \MR{1749898 (2001d:16025)} Noncommutative algebraic geometry, Noncommutative geometry (à la Connes), Representations of orders, lattices, algebras over commutative rings, Grothendieck groups (category-theoretic aspects), Rings arising from noncommutative algebraic geometry Non-isomorphic derived-equivalent tubular curves and their associated tubular 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; moduli spaces of sheaves; instantons; noncommutative ADHM construction; partition finctions; toric varieties Cirio, L.; Landi, G.; Szabo, R.J., Algebraic deformations of toric varieties II: noncommutative instantons, Adv. Theor. Math. Phys., 15, 1817-1907, (2011) Noncommutative algebraic geometry, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Toric varieties, Newton polyhedra, Okounkov bodies, Rings arising from noncommutative algebraic geometry Algebraic deformations of toric varieties. II: Noncommutative instantons | 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 modules; Beilinson algebras; AS-regular algebras; representation infinite algebras; preprojective algebras Representation type (finite, tame, wild, etc.) of associative algebras, Rings arising from noncommutative algebraic geometry, Ordinary and skew polynomial rings and semigroup rings, Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry Regular modules over 2-dimensional quantum Beilinson algebras of type \(S\) | 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 Artin-Schelter regular; enveloping algebra; graded Lie algebra; Gröbner basis; Hilbert series; Noetherian graded ring; noncommutative projective geometry Ore rings, multiplicative sets, Ore localization, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras) Classification of relation types of Ore extensions of dimension 5 | 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, Cohen-Macaulay modules, Rings arising from noncommutative algebraic geometry Gorenstein modifications and \(\mathbb{Q}\)-Gorenstein 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 noncommutative projective geometry; noncommutative surfaces; Sklyanin algebras; noetherian graded rings; noncommutative blowing-up D. Rogalski, S. J. Sierra and J. T. Stafford, Classifying orders in the Sklyanin algebra, 2013.arXiv:1308.2213 Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Graded rings and modules (associative rings and algebras), Rings arising from noncommutative algebraic geometry, Elliptic curves, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) Classifying orders in the Sklyanin 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 holomorphic functional calculus; affine \(NC \)-space; projective \(NC \)-space; projective line of Heisenberg; formally-radical functions; noncommutative scheme Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Noncommutative holomorphic functional calculus, affine and projective spaces from \(\operatorname{NC} \)-complete 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 Bellamy, G., \textit{on singular Calogero-Moser spaces}, Bull. Lond. Math. Soc., 41, 315-326, (2009) Noncommutative algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rings arising from noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Reflection and Coxeter groups (group-theoretic aspects) On singular Calogero-Moser 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 graded skew Clifford algebras; noncommutative quadratic forms; rank; point modules Vancliff, M.; Veerapen, P. P., Point modules over regular graded skew Clifford algebras, Journal of Algebra, 420, 54-64, (2014) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Quadratic and bilinear forms, inner products, Clifford algebras, spinors, Forms and linear algebraic groups, Ordinary and skew polynomial rings and semigroup rings Point modules over regular 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 Etingof P., Ginzburg V.: Noncommutative complete intersections and matrix integrals. Pure Appl. Math. Q. 3, 107--151 (2007) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Representation theory of associative rings and algebras Noncommutative complete intersections and matrix integrals | 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 normal extension; Artin-Schelter regular algebra; Calabi-Yau algebra; superpotential algebra; non-commutative algebraic geometry; tensor-algebras; Gelfand-Kirillov dimension; global dimension; Cohen-Macaulay; Gorenstein; graded algebras; twisted Calabi-Yau algebras; Frobenius algebras; normal extension; twisted superpotential; superpotential; connected graded algebra; Nakayama automorphism; homological determinant Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Automorphisms and endomorphisms New Artin-Schelter regular and Calabi-Yau algebras via normal 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 non-commutative projective geometry; commutative connected graded Noetherian algebra; projective variety; projective algebraic geometry; non-commutative algebras; coherent sheaves J. T. Stafford and J. J. Zhang, ''Examples in non-commutative projective geometry,'' Math. Proc. Cambridge Philos. Soc., 116, No. 3, 415--433 (1994). Noetherian rings and modules (associative rings and algebras), Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry, Homological functors on modules (Tor, Ext, etc.) in associative algebras, Associative rings of functions, subdirect products, sheaves of rings Examples in non-commutative 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 Noetherian graded rings; noncommutative projective geometry; deformations; twisted homogeneous coordinate rings Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Growth rate, Gelfand-Kirillov dimension, Graded rings and modules (associative rings and algebras) 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 Sklyanin algebras; noncommutative geometry; representation schemes; superpotentials 10.1007/s10468-014-9515-6 Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry The geometry of representations of 3-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 generalized polynomial identities; non-commutative algebraic geometry; solutions of polynomial equations; Free algebras; free fields; singularities of matrices; free ring; spectrum; non-commutative Nullstellensatz Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Division rings and semisimple Artin rings, Endomorphism rings; matrix rings, Rings with polynomial identity, Generalizations (algebraic spaces, stacks) Principles of non-commutative 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 free real algebraic geometry; linear matrix inequality (LMI); semidefinite programming (SDP); noncommutative algebra inequalities Helton, J. W.; Klep, I.; Nelson, C. S., Noncommutative polynomials nonnegative on a variety intersect a convex set, J. Funct. Anal., 266, 6684-6752, (2014) Real algebra, Noncommutative algebraic geometry, Operator spaces and completely bounded maps, Semidefinite programming, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Semialgebraic sets and related spaces Noncommutative polynomials nonnegative on a variety intersect a convex set | 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 De Rham cohomologies; nil-commutative scheme; commutator filtration; cyclic cohomology; Grothendieck topology; NC-schemes; nil-Poisson scheme; NP-schemes Cortiñas, G., De Rham and infinitesimal cohomology in kapranov's model for noncommutative algebraic geometry, Compos. math., 136, 171-208, (2003) Noncommutative algebraic geometry, de Rham cohomology and algebraic geometry, \(K\)-theory and homology; cyclic homology and cohomology, Rings arising from noncommutative algebraic geometry De Rham and infinitesimal cohomology in Kapranov's model for non commutative 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 non-commutative algebraic geometry; categorical resolution; derived categories; non-commutative crepant resolution; McKay correspondence; minimal model program; tilting G. Leuschke. \textit{Non-commutative Crepant Resolutions: Scenes from Categorical Geometry}, arXiv:math.AG/1103.5380v1. Research exposition (monographs, survey articles) pertaining to commutative algebra, Global theory and resolution of singularities (algebro-geometric aspects), Derived categories and associative algebras, Rings arising from noncommutative algebraic geometry, Cohen-Macaulay modules, Noncommutative algebraic geometry Non-commutative crepant resolutions: scenes from categorical 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 Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Minimal model program (Mori theory, extremal rays), Quadratic and Koszul algebras Golod-Shafarevich-type theorems and potential 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 affine schemes; prime ideals; centralizing extensions; global maps; generically closed subsets; relative normalizing extensions; localizations; functorial behaviour; structure sheaves; relative noncommutative algebraic geometry Centralizing and normalizing extensions, Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Torsion theories; radicals on module categories (associative algebraic aspects), Localization of categories, calculus of fractions Relative normalizing 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 Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to associative rings and algebras, Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to combinatorics, Representations of quivers and partially ordered sets, Ideals in associative algebras, Rings arising from noncommutative algebraic geometry, Connections of Hopf algebras with combinatorics, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Poisson algebras, Applications of Lie algebras and superalgebras to integrable systems, Relationships between algebraic curves and integrable systems, Noncommutative algebraic geometry, Factorials, binomial coefficients, combinatorial functions, Combinatorial aspects of representation theory, Free semigroups, generators and relations, word problems Noncommutative birational geometry, representations and combinatorics. Proceedings of the AMS special session on noncommutative birational geometry, representations and cluster algebras, Boston, MA, USA, January 6--7, 2012 | 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 Calogero phase spaces; coadjoint orbits; infinite dimensional Lie algebras; noncommutative symplectic geometry; varieties of representations; deformed preprojective algebras Bocklandt, R., Le Bruyn, L.: Necklace Lie algebras and noncommutative symplectic geometry. Math. Z. \textbf{240}, 141-167 (2002). arXiv:math/0010030 Representations of quivers and partially ordered sets, Infinite-dimensional Lie (super)algebras, Symplectic manifolds (general theory), Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Necklace Lie algebras and noncommutative symplectic 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 Sklyanin algebras; elliptic algebras; line modules Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Elliptic curves Exotic elliptic algebras of dimension 4. With an appendix by Derek Tomlin | 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 deforming algebras of functions; quantum groups; noncommutative spaces; categories of graded modules Vancliff M., Algebras and representation theory Graded rings and modules (associative rings and algebras), Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative algebraic geometry, Clifford algebras, spinors, Rings arising from noncommutative algebraic geometry, Quantum groups and related algebraic methods applied to problems in quantum theory Non-commutative spaces for graded quantum groups and graded 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 quantization; Mumford's formalism Yuri I. Manin, Theta functions, quantum tori and Heisenberg groups, Lett. Math. Phys. 56 (2001), no. 3, 295 -- 320. EuroConférence Moshé Flato 2000, Part III (Dijon). Noncommutative algebraic geometry, Theta functions and abelian varieties, Rings arising from noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative geometry (à la Connes) Theta functions, quantum tori and Heisenberg 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 non-commutative algebraic geometry; non-commutative curve; non-commutative symmetric Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Derived categories and associative algebras A representation theoretic study of non-commutative symmetric 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 Noetherian graded rings; noncommutative projective geometry; idealizer rings; strongly left Noetherian algebras Rogalski, D.: Idealizer rings and noncommutative projective geometry. J. algebra 279, 791-809 (2004) Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Module categories in associative algebras, Homological functors on modules (Tor, Ext, etc.) in associative algebras, Noncommutative algebraic geometry, Projective techniques in algebraic geometry Idealizer rings and 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 dimer model; quiver with relation; cancellation; consistent R-charge; consistency conditions; zig-zag rays R. Bocklandt, \textit{Consistency conditions for dimer models}, arXiv:1104.1592 [INSPIRE]. Toric varieties, Newton polyhedra, Okounkov bodies, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Consistency conditions for dimer models | 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 filtered deformations; Hilbert series; elliptic algebra Rings arising from noncommutative algebraic geometry, Elliptic curves, Rational and ruled surfaces, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry Filtered deformations of elliptic 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 singularity categories; noncommutative resolutions; derived quotients; recollements; Cohen-Macaulay modules; isolated hypersurface singularities Noncommutative algebraic geometry, Singularities in algebraic geometry, Derived categories and associative algebras, Differential graded algebras and applications (associative algebraic aspects), Cohen-Macaulay modules in associative algebras, Rings arising from noncommutative algebraic geometry, Derived categories, triangulated categories Singularity categories via the derived quotient | 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 Smith, S. P., Integral non-commutative spaces, J. Algebra, 246(2), 2001, 793--810. Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Integral 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 Weyl algebras; Hilbert series; elliptic quantum planes; ideals; Artin-Schelter regular algebras De Naeghel K., Van den Bergh M. (2005) Ideal classes of three dimensional Artin-Schelter regular algebras. J. Algebra 283(1): 399--429 Rings arising from noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Ordinary and skew polynomial rings and semigroup rings, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Ideals in associative algebras Ideal classes of three dimensional 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, Elliptic curves, Rings arising from noncommutative algebraic geometry AS-regularity of geometric algebras whose point schemes are plane elliptic curves | 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 flag varieties Ohn, C.: ''Classical'' flag varieties for quantum groups: the standard quantum \(SL(n,C)\). Adv. math. 171, No. 1, 103-138 (2002) Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry ``Classical'' flag varieties for quantum groups: the standard quantum \(\text{SL}(n,{\mathbb C})\). | 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 cluster algebras; Fomin-Zelevinsky mutations; Cohen-Macaulay modules; Calabi-Yau algebras; Serre functors; derived categories; cluster categories; affine Weyl groups; tilting modules; complements; exchange modules Iyama, O.; Reiten, I., \textit{Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras}, Amer. J. Math., 130, 1087-1149, (2008) Representations of associative Artinian rings, Representations of quivers and partially ordered sets, Cohen-Macaulay modules in associative algebras, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Module categories in associative algebras Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau 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 quadric hypersurfaces Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Derived categories and associative algebras, Abelian categories, Grothendieck categories Algebras associated to noncommutative conics in 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 noncommutative Grothendieck topology; schematic algebras; quantum groups; Ore sets; quasicoherent sheaf; geometric objects Van Oystaeyen, F., Willaert, L.: Grothendieck topology, coherent sheaves and Serre's theorem for schematic algebras. J. Pure Appl. Algebra 1(104), 109--122 (1995) Graded rings and modules (associative rings and algebras), Associative rings of functions, subdirect products, sheaves of rings, Ore rings, multiplicative sets, Ore localization, Noncommutative algebraic geometry, Torsion theories; radicals on module categories (associative algebraic aspects) Grothendieck topology, coherent sheaves and Serre's theorem for schematic 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 spaces; injective spectra; Noetherian rings; dimension functions; reduced spaces; weak points; categories of sheaves Pappacena, C. J.: The injective spectrum of a noncommutative space. J. algebra 250, 559-602 (2002) Module categories in associative algebras, Injective modules, self-injective associative rings, Noncommutative algebraic geometry, Associative rings of functions, subdirect products, sheaves of rings The injective spectrum of a noncommutative space. | 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 derived category; semiorthogonal decomposition; projective duality; noncommutative algebraic geometry Noncommutative algebraic geometry, Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Rings arising from noncommutative algebraic geometry Noncommutative homological projective duality | 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 Knörrer periodicity; stable category; noncommutative quadric hypersurface; skew polynomial algebra; point scheme Cohen-Macaulay modules in associative algebras, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Graded categories (general) On Knörrer periodicity for quadric hypersurfaces in skew 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 elliptic algebra; Sklyanin algebra; twist; theta functions Noncommutative algebraic geometry, Elliptic curves, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Quantum groups (quantized enveloping algebras) and related deformations Feigin and Odesskii's elliptic 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 AS-regular algebra; noncommutative projective scheme Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Abelian categories, Grothendieck categories When is an abelian category a quantum projective space? | 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; deformed preprojective algebra; McKay correspondence; Nakajima quiver variety Baranovsky, V.; Ginzburg, V.; Kuznetsov, A., Quiver varieties and a noncommutative \(\mathbb{P}^2\), Compos. Math., 134, 3, 283-318, (2002) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Quiver varieties and a noncommutative \(\mathbb P_2\) | 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 complex superspace; superstack; Moduli superstack; supersymmetric curves; Kuranishi family Supervarieties, Complex supergeometry, Noncommutative algebraic geometry Moduli and periods of supersymmetric curves | 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 homological mirror symmetry; derived category; Del Pezzo surfaces; Landau-Ginzburg model; Lagrangian vanishing cycles; noncommutative deformations D. Auroux, L. Katzarkov, and D. Orlov, ''Mirror Symmetry for Del Pezzo Surfaces: Vanishing Cycles and Coherent Sheaves,'' Invent. Math. 166(3), 537--582 (2006); arXiv:math/0506166. Calabi-Yau manifolds (algebro-geometric aspects), Rational and ruled surfaces, Fano varieties, Families, fibrations in algebraic geometry Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent 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 algebraic surfaces; affine-ruled surfaces; weighted projective planes; locally nilpotent derivations; additive group actions on affine \(3\)-space Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Rational and ruled surfaces, Group actions on affine varieties, Derivations and commutative rings Affine rulings of 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 cylinderlike surface; cylindrical fibration Rational and ruled surfaces, Families, moduli, classification: algebraic theory, Families, fibrations in algebraic geometry Cylinderlike surfaces with multiple cylindrical fibrations | 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 algebraic supergroup; super Hopf algebra; super; superscheme; super quotient scheme; K-functor; geometric superspace; Yetter-Drinfeld moduled; supermodule; supercomodule; bozonization A. N. Grishkov and A. N. Zubkov, ''Solvable, reductive and quasireductive supergroups,'' submitted to \textit{J. Alg.}; see arXiv: math.RT/1302.5648. Supervarieties, Noncommutative algebraic geometry, Group schemes Quotient sheaves of algebraic supergroups are superschemes | 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 decidability; Hilbert's Tenth Problem; uncomputably large integral points on algebraic curves; diophantine prefix; polynomials; height bounds; geometry of complex surfaces and 3-folds J.M. Rojas, Uncomputably large integral points on algebraic plane curves?, Theoret. Comput. Sci., 235 (this Vol.) (2000) 145--162. Decidability of theories and sets of sentences, Diophantine equations in many variables, Arithmetic problems in algebraic geometry; Diophantine geometry, Decidability (number-theoretic aspects), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Curves in algebraic geometry, Rational and ruled surfaces, Undecidability and degrees of sets of sentences Uncomputably large integral points on algebraic plane curves? | 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 Looijenga pairs; rational surfaces; moduli; Torelli theorem Mark Gross, Paul Hacking, and Seán Keel, Moduli of surfaces with an anti-canonical cycle, arXiv:1211.6367 [math.AG], 2012. Families, moduli, classification: algebraic theory, Rational and ruled surfaces, Torelli problem Moduli of surfaces with an anti-canonical cycle | 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 finiteness of fundamental groups of open rational surfaces; fiber of morphism Gurjar, R.V., Zhang, D.-Q.: On the fundamental groups of some open rational surfaces. Math. Ann. 306, 15--30 (1996) Homotopy theory and fundamental groups in algebraic geometry, Rational and ruled surfaces, Rational and unirational varieties On the fundamental groups of some open rational 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 Seshadri constants; Lelong numbers; Nagata conjecture Eckl, T.: Lower bounds for Seshadri constants, Math. nachr. 281, No. 8, 1119-1128 (2008) Transcendental methods of algebraic geometry (complex-analytic aspects), Rational and ruled surfaces, Divisors, linear systems, invertible sheaves Lower bounds for Seshadri constants | 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 Determinants; algebra; geometry; discussion of an equation of second degree; homogeneous coordinates; analytic criteria; plane sections of \(2^{\text{nd}}\) order surfaces; invariants of quadratic forms; plane curves of third order Determinants, permanents, traces, other special matrix functions, Equations in general fields, Plane and space curves, Rational and ruled surfaces, Quadratic and bilinear forms, inner products, Vector and tensor algebra, theory of invariants A new application of the determinants to algebra and 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 rational surface; basic representation; bundle Rational and ruled surfaces, Vector bundles on curves and their moduli Affine \(E_8\) basic representation bundles over rational surfaces with \(c^2_1= 0\) | 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 Chain conditions on annihilators and summands: Goldie-type conditions, Dimension theory, depth, related commutative rings (catenary, etc.), Noncommutative algebraic geometry, Supervarieties, Supermanifolds and graded manifolds On the notion of Krull super-dimension | 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 resolutions; geometric invariant theory; semi-orthogonal decomposition Geometric invariant theory, Noncommutative algebraic geometry, Derived categories and associative algebras Semi-orthogonal decompositions of GIT quotient stacks | 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 Derenthal, U., Janda, F.: Gaussian rational points on a singular cubic surface. In: Torsors, étale homotopy and applications to rational points, volume 405 of London Math. Soc. Lecture Note Ser., pp. 210-230. Cambridge Univ. Press, Cambridge (2013) Rational points, Rational and ruled surfaces, Counting solutions of Diophantine equations, Toric varieties, Newton polyhedra, Okounkov bodies Gaussian rational points on a singular cubic 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 Shafarevich complexes; noncommutative complete intersections; homology algebras E. S. Golod, ''Homologies of the Shafarevich complex and noncommutative complete intersections,'' Fund. Prikl. Mat., 5, No. 1, 85--95 (1999). Syzygies, resolutions, complexes in associative algebras, Differential graded algebras and applications (associative algebraic aspects), Linkage, complete intersections and determinantal ideals, Complete intersections, Rings arising from noncommutative algebraic geometry Homology of the Shafarevich complex and noncommutative 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 swung surfaces; revolution surfaces; real and complex surfaces; rational parametrization; ultraquadrics Andradas, Carlos; Recio, Tomás; Sendra, J. Rafael; Tabera, Luis-Felipe; Villarino, Carlos: Reparametrizing swung surfaces over the reals, Appl. algebra eng. Commun. comput. 25, No. 1-2, 39-65 (2014) Surfaces in Euclidean and related spaces, Rationality questions in algebraic geometry, Rational and ruled surfaces, Computational aspects of algebraic surfaces Reparametrizing swung surfaces over the reals | 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; spectrum of an abelian category; localizations; canonical topologies A. L. Rosenberg, Noncommutative local algebra, Geometric and Functional Analysis 4 (1994), 545--585. Noncommutative algebraic geometry, Abelian categories, Grothendieck categories, Localization of categories, calculus of fractions Noncommutative local 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 non-commutative crepant resolutions; Hibi rings; class groups Cohen-Macaulay modules, Rings arising from noncommutative algebraic geometry, Algebraic aspects of posets, Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects) Non-commutative crepant resolutions of Hibi rings with small class group | 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 diffeomorphism; complex surface diffeomorphic to a rational surface; Seiberg-Witten invariants; Kodaira dimension CH. Okonek andA. Teleman, Les invariants de Seiberg-Witten et la conjecture de Van de Ven.C. R. Acad. Sei. Paris 321 (1995), 457--461. Rational and ruled surfaces, Differential topological aspects of diffeomorphisms, Rational and unirational varieties, Differentiable structures in differential topology Seiberg-Witten invariants and the Van de Ven conjecture | 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 Vallès, J, Variétés de type togliatti, C. R. Acad. Sci. Paris Ser. I, 343, 411-414, (2006) Projective techniques in algebraic geometry, Rational and ruled surfaces Varieties of Togliatti type | 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 surface ruled by conics; singularities; special fibres; primitive model DOI: 10.1081/AGB-120022436 Rational and ruled surfaces, Projective techniques in algebraic geometry, Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties On rational surfaces ruled by conics | 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 groups; roots of unity; localization; derived equivalence; Calabi-Yau categories; noncommutative algebraic geometry E. Backelin and K. Kremnizer, ''Localization for quantum groups at a root of unity,'' J. Amer. Math. Soc., vol. 21, iss. 4, pp. 1001-1018, 2008. Noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations, Geometry of quantum groups, Quantum groups (quantized function algebras) and their representations Localization for quantum groups at a root of unity | 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 del Pezzo; rational surface; cubic surface; parametrization; algorithm Computational aspects of algebraic surfaces, Rational and ruled surfaces Construction algorithms for rational cubic 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 local-global principle; zero-cycle; ruled surface; Brauer-Manin obstruction; Brauer group; Chow group; Hasse principle J. Colliot-Thélène, ''Principe local-global pour les zéro-cycles sur les surfaces réglées,'' J. Amer. Math. Soc., vol. 13, iss. 1, pp. 101-127, 2000. (Equivariant) Chow groups and rings; motives, Brauer groups of schemes, Algebraic cycles, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Arithmetic ground fields for surfaces or higher-dimensional varieties, Global ground fields in algebraic geometry, Varieties over global fields, Rational and ruled surfaces Local-global principle for the zero-cycles on 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 ruled surfaces; Einstein-Maxwell metrics; conformally Kähler metrics Koca, C.; Tønnesen-Friedman, CW, Strongly Hermitian Einstein-Maxwell solutions on ruled surfaces, Ann. Glob. Anal. Geom., 50, 29-46, (2016) Global differential geometry of Hermitian and Kählerian manifolds, Rational and ruled surfaces, Special Riemannian manifolds (Einstein, Sasakian, etc.), Applications of global differential geometry to the sciences, Exact solutions to problems in general relativity and gravitational theory, Einstein-Maxwell equations Strongly Hermitian Einstein-Maxwell solutions on 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 elliptic curves; locally free sheaf on complete curve; scroll; dual varieties Mallavibarrena R., Piene R. (1991). Duality for elliptic normal surface scrolls. Contemp. Math. 123: 149--160 Projective techniques in algebraic geometry, Rational and ruled surfaces, Enumerative problems (combinatorial problems) in algebraic geometry, Arithmetic ground fields for curves Duality for elliptic normal surface scrolls | 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 associative algebra; non-commutative algebra; rightsided unit; left-sided unit; local units; discrete logarithm problem; hidden logarithm problem; post-quantum cryptography; digital signature Cryptography, Computational aspects of associative rings (general theory), Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Endomorphism rings; matrix rings, Quantum cryptography (quantum-theoretic aspects) New form of the hidden logarithm problem and its algebraic support | 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 weak del Pezzo surfaces; boundedness; volume Minimal model program (Mori theory, extremal rays), Rational and ruled surfaces, Computational aspects of algebraic surfaces Bounding the volumes of singular weak log del Pezzo 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 minimal atom; Grothendieck category; Noetherian generator; compressible object Abelian categories, Grothendieck categories, Noetherian rings and modules (associative rings and algebras), Module categories in associative algebras, Noncommutative algebraic geometry, Module categories and commutative rings Finiteness of the number of minimal atoms in Grothendieck categories | 0 |
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