text
stringlengths 209
2.82k
| label
int64 0
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 multi-homogeneous coordinate ring; invertible bimodule; Rees algebra; projective scheme; ascending chain condition; non-commutative algebraic geometry; quasi-coherent sheaves; graded modules modulo torsion submodules; homogeneous coordinate rings Chan, D.: Twisted multi-homogeneous coordinate rings. J. algebra 223, 438-456 (2000) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Commutative Noetherian rings and modules Twisted multi-homogeneous coordinate rings | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Fréchet algebra; noncommutative geometry; Stein space Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Noncommutative function spaces, Functional calculus in topological algebras, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Quantizations, deformations for selfadjoint operator algebras, Deformations of associative rings Noncommutative analogues of Stein spaces of finite embedding 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 Landau-Ginzburg model; dg-categories of singularities; matrix factorisations; vanishing cycles; nearby cycles; motives; noncommutative motives; motivic homotopy theory Morel-Voevodsky; motivic realisations; \(\ell\)-adic sheaves; algebraic K-theory Motivic cohomology; motivic homotopy theory, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, \(K\)-theory of schemes, Deformations of complex singularities; vanishing cycles Motivic realizations of singularity categories and vanishing cycles | 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 stable category; Cohen-Macaulay module; noncommutative quadric hypersurface; adjacency matrix; Stanley-Reisner ideal Cohen-Macaulay modules in associative algebras, Graphs and linear algebra (matrices, eigenvalues, etc.), Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Rings arising from noncommutative algebraic geometry, Derived categories, triangulated categories, Noncommutative algebraic geometry Combinatorial study of stable categories of graded Cohen-Macaulay modules over skew quadric hypersurfaces | 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 transformation; Cremona transform; Sklyanin algebras; non-commutative surfaces Presotto, D.; Den Bergh, M. Van: Noncommutative versions of some classical birational transformations. (2014) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Noncommutative versions of some classical birational transformations | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; noncommutative projective line; noncommutative curve; two-sided vector space; noncommutative symmetric algebras; arithmetic noncommutative projective line Nyman, A, The geometry of arithmetic noncommutative projective lines, J. Algebra, 414, 190-240, (2014) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry The geometry of arithmetic noncommutative projective lines | 1 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative resolution; Springer resolution; non-commutative desingularization; determinantal variety; Young diagram; Young quiver; resolution of determinantal variety; Orlov's conjecture; tilting module Noncommutative algebraic geometry, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Determinantal varieties, Rings arising from noncommutative algebraic geometry, Representation theory for linear algebraic groups Non-commutative desingularization of determinantal varieties. II: Arbitrary minors | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Koszul Clabi-Yau algebra; Koszul dual algebra; Koszul coalgebra; Batalin-Vilkoviski algebra; \(n\)-Calabi-Yau algebra; Hochschild cohomology; Hochschild cohomology; Gerstenhaber bracket X. Chen, S. Yang and G. D. Zhou, Batalin--Vilkovisky algebras and the non-commutative Poincaré duality of Koszul Calabi--Yau algebras, J. Pure Appl. Algebra, 220 (2016), no. 7, 2500--2532. Zbl 06546716 MR 3457981 Noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Rings arising from noncommutative algebraic geometry, Duality in applied homological algebra and category theory (aspects of algebraic topology) Batalin-Vilkovisky algebras and the noncommutative Poincaré duality of 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 quantum projective space; AS-regular algebra; abelian category; helix; noncommutative quadric surface Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Derived categories and associative algebras, Abelian categories, Grothendieck categories A categorical characterization of quantum 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 right preresolution; noncommutative isolated singularity; noncommutative quadric hypersurface Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Cohen-Macaulay modules in associative algebras, Quadratic and Koszul algebras, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Preresolutions of noncommutative isolated singularities | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces point space; noncommutative Hilbert scheme; naive blowup algebra Nevins, T.A., Sierra, S.J.: Naive blowups and canonical birationally commutative factors. arXiv:1206.0760 (2012) Noncommutative algebraic geometry, Rational and birational maps, Parametrization (Chow and Hilbert schemes), Noetherian rings and modules (associative rings and algebras), Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Fine and coarse moduli spaces, Stacks and moduli problems Naïve blowups and canonical birationally commutative factors | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces twisted Calabi-Yau; generalized Artin-Schelter regular; homologically smooth; separable algebras Noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Rings arising from noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Graded rings and modules (associative rings and algebras) Graded twisted Calabi-Yau algebras are generalized Artin-Schelter regular | 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 extremal algebras; Artin-Schelter regular algebras; Hilbert series; Auslander regular algebras; Cohen-Macaulay algebras; Calabi-Yau algebras 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) Some properties of the extremal 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 algebraic spaces and stacks; resolution property; formal neighborhoods Generalizations (algebraic spaces, stacks), Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry The resolution property via Azumaya algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces graded connected algebras; Castelnuovo-Mumford regularity; balanced dualizing complexes Dong, Z.-C.; Wu, Q.-S., Non-commutative Castelnuovo-Mumford regularity and AS-regular algebras, J. Algebra, 322, 1, 122-136, (2009) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Graded rings and modules (associative rings and algebras), Rings arising from noncommutative algebraic geometry, Quadratic and Koszul algebras, Noncommutative algebraic geometry Non-commutative Castelnuovo-Mumford regularity and AS-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 residue complexes; three-dimensional Sklyanin algebras; quantum polynomial rings; multiplicites; point modules; quantum anomalies Ajitabh, K.: Residue complex for Sklyanin algebras of dimension three. Adv. math. 144, 137-160 (1999) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Syzygies, resolutions, complexes in associative algebras, Ordinary and skew polynomial rings and semigroup rings Residue complex for Sklyanin algebras of dimension three | 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 Van den Bergh, M.: Noncommutative quadrics. Int. Math. Res. Not. IMRN \textbf{17}, 3983-4026 (2011) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Noncommutative quadrics | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative geometry; point modules S. P. Smith, Subspaces of non-commutative spaces, Transactions of the American Mathematical Society 354 (2002), 2131--2171. Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Categories in geometry and topology Subspaces of 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 noncommutative real nullstellensatz; \(*\)-algebras; real ideals Cimprič, J.; Helton, JW; McCullough, S.; Nelson, C., A noncommutative real nullstellensatz corresponds to a noncommutative real ideal: Algorithms, Proceedings of the London Mathematical Society (3), 106, 1060-1086, (2013) Real algebraic and real-analytic geometry, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Computational aspects of associative rings (general theory), Linear spaces and algebras of operators, Real algebra, Rings with involution; Lie, Jordan and other nonassociative structures, Noncommutative algebraic geometry A noncommutative real nullstellensatz corresponds to a noncommutative real ideal: algorithms | 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; linear modules; line modules; point schemes; line schemes Shelton, Brad; Vancliff, Michaela, Schemes of line modules. I, J. London Math. Soc. (2), 65, 3, 575-590, (2002) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Quadratic and Koszul algebras Schemes of line modules. I | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative geometry; quantum toric varieties; semigroup algebras; Artin-Schelter; Cohen-Macaulay; Artin-Schelter Gorenstein Rigal, L.; Zadunaisky, P., Twisted semigroup algebras, \textit{Alg. Rep. Theory}, 5, 1155-1186, (2015) Twisted and skew group rings, crossed products, Rings arising from noncommutative algebraic geometry, Ring-theoretic aspects of quantum groups, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Deformations of associative rings, Noncommutative algebraic geometry Twisted semigroup 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 invariant theory; Cardano formula; quantum groups Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Abel's theorem in the noncommutative case | 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 naïve blowup; point module; embedded point module; noncommutative projective plane Nevins, TA; Sierra, SJ, Moduli spaces for point modules on naïve blowups, Algebra Number Theory, 7, 795-834, (2013) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Graded rings and modules (associative rings and algebras) Moduli spaces for point modules on naïve blowups | 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 calabi-Yau algebras; twisted coordinate ring; non-commutative Calabi-Yau projective schemes; Calabi-Yau condition; quantum projective space DOI: 10.1016/j.jpaa.2014.09.027 Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Non-commutative projective Calabi-Yau schemes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces D. Hobst, Antipodes in the theory of noncommutative torsors, PhD thesis Ludwig-Maximilians Universität München, 2004, Logos Verlag, Berlin, 2004 Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Antipodes in the theory of noncommutative torsors | 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 deformations of coordinate rings; Kleinian singularities; finitely generated projective modules; quiver varieties; rings of invariants Eshmatov, F.: DG-models of projective modules and nakajima quiver varieties. (2006) Rings arising from noncommutative algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), Representations of quivers and partially ordered sets, Deformations of associative rings, Formal methods and deformations in algebraic geometry, Noncommutative algebraic geometry, Deformations of singularities, Free, projective, and flat modules and ideals in associative algebras, Abstract and axiomatic homotopy theory in algebraic topology DG-models of projective modules and Nakajima quiver varieties. | 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 coherent rings; graded algebras; noncommutative schemes; Gorenstein algebras; categories of coherent modules; coherent sheaves D. Piontkovski, Coherent algebras and noncommutative projective lines. J. Algebra 319 (2008), 3280-3290. Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) Coherent algebras and 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 noncommutative algebraic geometry; noncommutative blow up; strongly Noetherian Keeler, D. S.; Rogalski, D.; Stafford, J. T., Naïve noncommutative blowing up, Duke Math. J., 126, 3, 491-546, (2005) 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 Naïve noncommutative blowing up | 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; invertible sheaves; Noetherian graded rings; invertible bimodules; projective schemes; coordinate rings; tensor products; ampleness; Rees rings; Gelfand-Kirillov dimension Dennis S. Keeler, Noncommutative ampleness for multiple divisors, J. Algebra 265 (2003), no. 1, 299 -- 311. Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Divisors, linear systems, invertible sheaves, Schemes and morphisms, Vanishing theorems in algebraic geometry, Growth rate, Gelfand-Kirillov dimension, Graded rings and modules (associative rings and algebras), Automorphisms of surfaces and higher-dimensional varieties Noncommutative ampleness for multiple divisors | 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 closed subspaces; non-commutative algebraic geometry Smith, S. Paul, Corrigendum to ``Maps between non-commutative spaces''[MR2052602], Trans. Amer. Math. Soc., 368, 11, 8295-8302, (2016) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Corrigendum to: ``Maps between non-commutative spaces'' | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Artin-Schelter regular algebras; Gröbner bases Shen, Y.; Zhou, G. S.; Lu, D. M., Homogeneous PBW-deformation for Artin-Schelter regular algebras, Bull Aust Math Soc, 91, 53-68, (2015) Rings arising from noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Deformations of associative rings, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Homological dimension in associative algebras Homogeneous PBW deformation for 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 Weil transitivity theorem; super-Weil algebra; Grassmann algebra; Yoneda's lemma; Weil-Berezin functor; local functor of points; Schwarz embedding Balduzzi, L; Carmeli, C; Fioresi, R, The local functors of points of supermanifolds, Expo. Math., 28, 201-217, (2010) Supermanifolds and graded manifolds, Classical or axiomatic geometry and physics, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry The local functors of points of supermanifolds | 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 group; quantized enveloping algebra at a root of unity; cohomology; tilting module; principal block; support; two-sided cell; affine Weyl group; nilpotent cone; Springer resolution; equivariant coherent sheaf; orbit; equivariant vector bundle Bezrukavnikov, Roman, Cohomology of tilting modules over quantum groups and \(t\)-structures on derived categories of coherent sheaves, Invent. Math., 166, 2, 327-357, (2006) 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 of tilting modules over quantum groups and \(t\)-structures on derived categories of 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 rational Cherednik algebras; Hecke algebras; KZ functors; deformed Harish-Chandra homomorphisms McGerty, K, Microlocal \(KZ\)-functors and rational Cherednik algebras, Duke Math. J., 161, 1657-1709, (2012) Rings arising from noncommutative algebraic geometry, Deformation quantization, star products, Noncommutative algebraic geometry, Representations of quivers and partially ordered sets, Quantum groups (quantized enveloping algebras) and related deformations, Hecke algebras and their representations, Deformations of associative rings Microlocal \(KZ\)-functors and rational Cherednik 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 geometry; point module; noncommutative ruled surface Nyman, A.: The geometry of points on quantum projectivizations. J. algebra 246, 761-792 (2001) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry The geometry of points on quantum projectivizations. | 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; graded rings; global dimension; Grothendieck group Grothendieck groups, \(K\)-theory, etc., Graded rings and modules (associative rings and algebras), Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry The Grothendieck group of non-commutative non-Noetherian analogues of \(\mathbb{P}^1\) and regular algebras of global dimension two | 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 geometry; matrix algebras Noncommutative geometry in quantum theory, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Geometrical objects on matrix 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 Research exposition (monographs, survey articles) pertaining to algebraic geometry, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Categories in geometry and topology Noncommutative geometry. A functorial approach | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces adjunction formula; Artin-Schelter algebra; noncommutative Cohen-Macaulay surface Mori, I., Riemann-Roch like theorem for triangulated categories, J. Pure Appl. Algebra, 193(1--3), 2004, 263--285. Riemann-Roch theorems, Noncommutative algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Quadratic and Koszul algebras, Rings arising from noncommutative algebraic geometry Riemann-Roch like theorem for triangulated categories | 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 Hahn-Banach separation theorem; real closed field; \(\ast\)-algebra; group ring; sum of squares T. Netzer and A. Thom, Real closed separation theorems and applications to group algebras, Pacific J. Math. 263 (2013), no. 2, 435-452. Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations, Representations of topological algebras with involution, Convex sets without dimension restrictions (aspects of convex geometry) Real closed separation theorems and applications to group 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 filtered rings; sheaves; non-commutative algebraic geometry Rings arising from noncommutative algebraic geometry, Filtered associative rings; filtrational and graded techniques, Noncommutative algebraic geometry Base change and the microstructure 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 Noncommutative algebraic geometry, Finite-dimensional division rings, Rings arising from noncommutative algebraic geometry, Growth rate, Gelfand-Kirillov dimension, Collections of abstracts of lectures Report 23/2006: Interactions between Algebraic Geometry and Noncommutative Algebra (May 7th -- May 13th, 2006) | 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 generalizations of polynomial algebras; coordinate algebras; noncommutative differential geometry; noncommutative algebraic geometry Dubois-Violette, M.: Noncommutative coordinate algebras. In: Blanchard, E. (ed.) Quanta of Maths, dédié à à A. Connes. In: Clay Mathematics Proceedings, pp. 171--199. Clay Mathematics Institute (2010) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Quadratic and Koszul algebras, Ordinary and skew polynomial rings and semigroup rings, Graded rings and modules (associative rings and algebras) Noncommutative coordinate 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 complex reflection groups; Coxeter groups; rational Cherednik algebras; Dunkl operators; Hecke algebras; rings of differential operators; Weyl algebras; root systems; rings of quasi-invariants; spherical algebras Berest, Y.; Chalykh, O., \textit{quasi-invariants of complex reflection groups}, Composito Math., 147, 965-1002, (2011) Rings of differential operators (associative algebraic aspects), Reflection and Coxeter groups (group-theoretic aspects), Noncommutative algebraic geometry, Simple, semisimple, reductive (super)algebras, Hecke algebras and their representations, Geometric invariant theory, Rings arising from noncommutative algebraic geometry, Lie algebras of linear algebraic groups Quasi-invariants of complex reflection 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 semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Semiprime graded algebras of dimension two | 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 varieties; stacks; quadratic algebras; filtrations Kontsevich, M., \textit{deformation quantization of algebraic varieties}, Lett. Math. Phys., 56, 271-294, (2001) Noncommutative algebraic geometry, Deformation quantization, star products, Associative rings of functions, subdirect products, sheaves of rings Deformation quantization of algebraic varieties. | 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 quantum schemes; survey Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry, Associative rings of functions, subdirect products, sheaves of rings, Ore rings, multiplicative sets, Ore localization Looking for a noncommutative geometry \(\dots\) again! | 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 Clifford algebras; quantum \(\mathbb{P}^3\) Shelton B., Schemes of Line Modules Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Schemes of line modules. II. | 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, Gwyn; Rogalski, Daniel; Schedler, Travis; Stafford, Toby J.; Wemyss, Michael, Noncommutative algebraic geometry, Math. Sci. Res. Inst. Publ., (2016), Cambridge University Press Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings of conferences of miscellaneous specific interest, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Noncommutative algebraic geometry. Lecture notes based on courses given at the Summer Graduate School at the Mathematical Sciences Research Institute (MSRI), Berkeley, CA, USA, June 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 non-commutative algebraic geometry; moduli spaces Noncommutative algebraic geometry, Deformations and infinitesimal methods in commutative ring theory, Lie algebras and Lie superalgebras, Rings arising from noncommutative algebraic geometry On moduli spaces of 3d Lie algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces graded algebras; global dimension; projective surfaces; noncommutative surfaces; AS-Gorenstein algebras D. Rogalski and S.J. Sierra, Some noncommutative projective surfaces of GK-dimension 4, Compos. Math. \textbf{148} (2012), 1195-1237. Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) Some projective surfaces of GK-dimension 4 | 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 polarized schemes; geometric algebras; Hochschild cohomology; polarized Grothendieck categories; non-commutative Hilbert-Mumford criterion; graded stability; stability for graded algebras; derived stack; gauge group; Artin-Schelter regular algebras; Gerstenhaber bracket; Maurer-Cartan equation Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Moduli of non-commutative polarized schemes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative geometry; quasi-scheme; effective divisor; intersection multiplicity; non-commutative surface; Riemann-Roch theorem; blow up Peter Jørgensen, Intersection theory on non-commutative surfaces, Trans. Amer. Math. Soc. 352 (2000), no. 12, 5817 -- 5854. Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Intersection theory on non-commutative surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; noncommutative curves; Witts theorem Nyman, A.: Wittïs theorem for noncommutative conics. Appl. categ. Structures (2016) Noncommutative algebraic geometry, Special algebraic curves and curves of low genus, Rings arising from noncommutative algebraic geometry Witt's theorem for noncommutative conic 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 PBW deformations; Artin-Schelter regular algebras; homogenizations; Hopf algebra actions; skew Calabi-Yau algebras; connected graded affine algebras; Nakayama automorphisms Shen, Y.; Lu, D., Nakayama automorphisms of PBW deformations and Hopf actions, Sci. China math., 59, 661-672, (2016) Rings arising from noncommutative algebraic geometry, Deformations of associative rings, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Actions of groups and semigroups; invariant theory (associative rings and algebras), Ordinary and skew polynomial rings and semigroup rings Nakayama automorphisms of PBW deformations and Hopf actions. | 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 polynomial rings; noncommutative projective geometry; ring theory; torus actions Belmans, P., De Laet, K., Le Bruyn, L. (2015). The point variety of quantum polynomial rings, arXiv preprint arXiv:1509.07312. Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry The point variety of quantum 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 non-commutative algebraic geometry; maximal order; Azumaya algebra; non-commutative ruled surface; non-commutative Mori contraction; ramified order; ruled order; non-commutative rational curve; noncommutative surface Chan, Daniel: Lectures on orders Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Associative algebras and orders Rational curves and ruled orders on surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Cohen-Macaulay modules; vector bundles; non-commutative surface singularities Noncommutative algebraic geometry, Cohen-Macaulay modules in associative algebras, Representation type (finite, tame, wild, etc.) of associative algebras, Rings arising from noncommutative algebraic geometry On Cohen-Macaulay modules over non-commutative surface singularities | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces generic algebras; anticommutative algebras; finite dimensional algebras; Grassmannian; \(n\)-ary algebra; anticommutative algebraic geometry; \(D\)-regular algebras; \(E\)-regular algebras E. A. Tevelev, Subalgebras and discriminants of anticommutative algebras, Izv. Ross. Akad. Nauk Ser. Mat. 63 (1999), no. 3, 169 -- 184 (Russian, with Russian summary); English transl., Izv. Math. 63 (1999), no. 3, 583 -- 595. Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Exterior algebra, Grassmann algebras, Grassmannians, Schubert varieties, flag manifolds Subalgebras and discriminants of anticommutative 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; coarse moduli schemes; Morita equivalence classes; Deligne-Mumford curves D. Chan and C. Ingalls, Non-commutative coordinate rings and stacks, \textit{Proc. London Math. Soc.,}\textbf{88} (2004), 63-88. Noncommutative algebraic geometry, Generalizations (algebraic spaces, stacks), Rings arising from noncommutative algebraic geometry Non-commutative coordinate rings and 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 noncommutative projective geometry; noncommutative surfaces; Sklyanin algebras; noncommutative blowing up; Noetherian graded rings; sporadic ideals; divisor layering; graded quotient ring; twisted homogeneous coordinate ring; elliptic algebra; exceptional line modules; Godie torsion module D. Rogalski, S. J. Sierra and J. T. Stafford, Noncommutative blowups of elliptic algebras, Algebr. Represent. Theory, (2014), 1--39.Zbl 06445654 MR 3336351 Noncommutative algebraic geometry, Elliptic curves, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Noetherian rings and modules (associative rings and algebras), Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras) Noncommutative blowups 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 noncommutative algebraic geometry; noncommutative curve Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry An abstract characterization of 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 Gorenstein rings; noncommutative orders; Macimal Cohen-Macaulay modules; noncommutative resolutions; symmetric orders; birational orders; non-singular orders; non-Gorenstein Stangle, J., Gorenstein and totally reflexive orders, J. Algebra, 477, 56-68, (2017) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Gorenstein and totally reflexive orders | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces connected graded Noetherian algebras; Ore sets; schemes; non-commutative geometry; schematic algebras; Rees rings; quantum Weyl algebras; Sklyanin algebras Van Oystaeyen, F., Willaert, L.: Examples and quantum sections of schematic algebras. J. Pure Appl. Algebra 2(120), 195--211 (1997) Ore rings, multiplicative sets, Ore localization, Noncommutative algebraic geometry, Deformations of associative rings, Graded rings and modules (associative rings and algebras), Associative rings of functions, subdirect products, sheaves of rings, Localization and associative Noetherian rings Examples and quantum sections of 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 quantum polynomial algebra; quantum projective planes Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Derived categories and associative algebras, Abelian categories, Grothendieck categories Characterization of the quantum projective planes finite over their centers | 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-like pseudolattices; exceptional collections; mutations; toric systems Kuznetsov, A.: Exceptional collections in surface-like categories. arXiv:1703.07812 Noncommutative algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Rational and ruled surfaces Exceptional collections in surface-like categories | 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 subspaces; \(4 \times 4\) matrices; Grassmannian; line scheme; minors; non-commutative analogues of \(\mathbb{P}^3\) Noncommutative algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Vector and tensor algebra, theory of invariants, Rings arising from noncommutative algebraic geometry A geometric invariant of \(6\)-dimensional subspaces of \(4\times 4\) matrices | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Koszul dual algebra; Morita autoequivalence; derived category of coherent sheaves Polishchuk, A., Noncommutative two-tori with real multiplication as noncommutative projective varieties, J. Geom. Phys., 50, 162-187, (2004) Noncommutative algebraic geometry, Elliptic curves, Rings arising from noncommutative algebraic geometry, Noncommutative geometry (à la Connes) Noncommutative two-tori with real multiplication as noncommutative projective varieties | 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 \(\mathbb P^n\); line scheme; quantum algebra Chandler, R. G.; Vancliff, M., The one-dimensional line scheme of a certain family of quantum \(\mathbb{P}^3\)s, J. Algebra, 81, 316-333, (2015) Noncommutative algebraic geometry, Quadratic and Koszul algebras, Rings arising from noncommutative algebraic geometry The one-dimensional line scheme of a certain family of quantum \(\mathbb{P}^3\mathrm{s}\) | 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 noncommutative projective surface; noncommutative birational geometry; birationall commutative algebra; twisted homogeneous coordinate ring Sierra, SJ, Classifying birationally commutative projective surfaces, Proc. LMS, 103, 139-196, (2011) Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry Classifying birationally commutative projective surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Algebraic cycles, Other nonalgebraically closed ground fields in algebraic geometry, Hopf algebras and their applications, Relations with noncommutative geometry, Proceedings of conferences of miscellaneous specific interest Noncommutative geometry, arithmetic, and related topics. Proceedings of the 21st meeting of the Japan-U.S. Mathematics Institute (JAMI) held at Johns Hopkins University, Baltimore, MD, USA, March 23--26, 2009 | 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 Calabi-Yau algebras; Artin-Schelter regular algebras; Hopf algebras; PBW-deformations He, J. -W.; Van Oystaeyen, F.; Zhang, Y.: Calabi-Yau algebras and their deformations, Bull. math. Soc. sci. Math. roumanie (N.S.) 56(104), No. 3, 335-347 (2013) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Rings arising from noncommutative algebraic geometry, Hopf algebras and their applications, Graded rings and modules (associative rings and algebras), Quadratic and Koszul algebras, Deformations of associative rings, Noncommutative algebraic geometry Calabi-Yau algebras and their deformations. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Noncommutative geometry (à la Connes), Noncommutative algebraic geometry, Noncommutative differential geometry, Rings arising from noncommutative algebraic geometry, Noncommutative geometry in quantum theory Heisenberg modules over real multiplication noncommutative tori and related algebraic structures | 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 local rings; global dimension; Ore extensions; centers Van Den Bergh F (2002) An analysis of particle swarm optimization. Ph.D. dissertation, Faculty of Natural and Agricultural Science, University of Petoria, Petoria, South Africa Ordinary and skew polynomial rings and semigroup rings, Center, normalizer (invariant elements) (associative rings and algebras), Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry On the structure of non-commutative regular local rings of dimension two. | 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 scheme; cluster tilting module; AS-Gorenstein algebra; AS-regular algebra; ASF-regular algebra Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Cohen-Macaulay modules in associative algebras, Graded rings and modules (associative rings and algebras) Cluster tilting modules and noncommutative projective schemes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Sklyanin algebras; Grothendieck categories; noncommutative curves; noncommutative projective geometry; graded rings; full subcategories; categories of graded modules; Krull dimension; non-commutative schemes; quasi-schemes; quasi-coherent sheaves Rings arising from noncommutative algebraic geometry, Module categories in associative algebras, Noncommutative algebraic geometry, Homological dimension in associative algebras, Graded rings and modules (associative rings and algebras) Curves in Grothendieck categories. | 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 irreducible modules; semiprimitive ideals; refined Zariski topologies Simple and semisimple modules, primitive rings and ideals in associative algebras, Noetherian rings and modules (associative rings and algebras), Chain conditions on annihilators and summands: Goldie-type conditions, Ideals in associative algebras, Topological and ordered rings and modules, Noncommutative algebraic geometry, Associative rings of functions, subdirect products, sheaves of rings The closed-point Zariski topology for 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 artinian algebras; thick points; noncommutative deformations; deformation functor; versal deformation; moduli suite; extensions; simple modules; phase space functor; Hochschild cohomology; Massey products; representations of associative algebras; Toy model; blow-ups; desingularizations, Hilbert schemes; Chern classes, Dirac derivation, de Rham complex; Jacobian conjecture; dynamical structure; swarms; metrics, gravitation; quantum gravitation; energy; Clifford algebras; Chern-Simons classes; Yang-Mills theory; heat equation; thermodynamics; Kepler laws; heat equation; Navier-Stokes equation; Schrödinger equation; Einstein field equation; entropy; cosmology; cosmological time; density of mass; inflation; cyclical cosmology; conformally trivial cosmological model; universe, observers; photons; red-shift; entanglement; consciousness; super symmetry bosonic fields; fermionic fields; gluons; quarks; charge; black energy; black mass Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Noncommutative algebraic geometry, Local deformation theory, Artin approximation, etc., Parametrization (Chow and Hilbert schemes), Formal methods and deformations in algebraic geometry, Algebraic moduli problems, moduli of vector bundles, Plane and space curves, Simple and semisimple modules, primitive rings and ideals in associative algebras, Representations of orders, lattices, algebras over commutative rings, Representation theory of associative rings and algebras, Rings arising from noncommutative algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory, Noncommutative geometry in quantum theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Quantum field theory; related classical field theories, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to relativity and gravitational theory, Relativistic cosmology Mathematical models in science | 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; twisted homogeneous coordinate rings J. T. Stafford, ''Noncommutative projective geometry,'' in: Proceedings of the International Congress of Mathematicians, Vol. II, Beijing (2002), Higher Ed. Press, Beijing (2002), pp. 93--103. Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Noncommutative projective geometry | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; real spectrum; skew fields; matrix orderings; epic \(R\)-fields Topological and ordered rings and modules, Noncommutative algebraic geometry, Infinite-dimensional and general division rings, Ordered rings, algebras, modules, Endomorphism rings; matrix rings Orderings for noncommutative 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 Sklyanin algebras; comodule algebras; torsors; descent Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Rings arising from noncommutative algebraic geometry, Hopf algebras and their applications, Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry Exotic 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 perfect fields; simple two-sided central vector spaces; non-commutative symmetric algebras; division rings of fractions; non-commutative surfaces Hart, J.; Nyman, A.: Duals of simple two-sided vector spaces, Comm. algebra 40, 2405-2419 (2012) Bimodules in associative algebras, Vector spaces, linear dependence, rank, lineability, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Duals of simple two-sided vector spaces. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces centers; three-dimensional regular algebras; Artin-Schelter regular algebras; projective planes Van Gastel, M., On the center of the proj of a three dimensional regular algebra, Comm. algebra, 30, 1, 1-25, (2002) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry On the center of the Proj of a three dimensional regular 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 Grothendieck representations; graded rings; spectral representations; noncommutative schemes; Grothendieck categories; noncommutative algebraic geometry Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Category-theoretic methods and results in associative algebras (except as in 16D90), Schemes and morphisms Quotient Grothendieck 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 rational Cherednik algebras; geometry of quiver varieties; categories of modules; equivalences of categories; good filtrations; coherent sheaves; tautological bundles Associative rings and algebras arising under various constructions, Representations of quivers and partially ordered sets, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Module categories in associative algebras, Hecke algebras and their representations Characteristic cycles of standard modules for the rational Cherednik algebra of type \(\mathbb{Z}/l\mathbb{Z}\). | 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 representation theory; lattice models; generalized Weyl algebras; weight modules Noncommutative geometry (à la Connes), Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Noncommutative fiber products and lattice 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 anti-commutative algebraic geometry; finite-dimensional algebras; Grassmannian Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Exterior algebra, Grassmann algebras Generic 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 Artin-Schelter regular algebras; PBW deformations; skew polynomial rings Gaddis J. PBW deformations of Artin-Schelter regular algebras. ArXiv:1210.0861v2, 2012 Rings arising from noncommutative algebraic geometry, Deformations of associative rings, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Ordinary and skew polynomial rings and semigroup rings PBW deformations of Artin-Schelter regular algebras. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces representation theory of finite-dimensional algebras; tame hereditary algebras; tame bimodules; noncommutative curves of genus zero; noncommutative function fields of genus zero D. Kussin, Parameter curves for the regular representations of tame bimodules, J. Algebra, 320 (2008), no. 6, 2567--2582.Zbl 1197.16017 MR 2437515 Representations of associative Artinian rings, Noncommutative algebraic geometry, Special algebraic curves and curves of low genus, Rings arising from noncommutative algebraic geometry, Representation type (finite, tame, wild, etc.) of associative algebras Parameter curves for the regular representations of tame bimodules. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative projective geometry; generalized Weyl algebra; graded module category; category equivalence Graded rings and modules (associative rings and algebras), Module categories in associative algebras, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry The noncommutative schemes of generalized Weyl 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 Kleinian singularities of type \(D\); noncommutative deformations; simply laced Dynkin diagrams; coordinate rings; Poisson brackets; generators and relations; moduli spaces Levy, P., Isomorphism problems of noncommutative deformations of type \textit{D} Kleinian singularities, Trans. Amer. Math. Soc., 361, 5, 2351-2375, (2009) Deformations of associative rings, Rings arising from noncommutative algebraic geometry, Deformations of singularities, Noncommutative algebraic geometry Isomorphism problems of noncommutative deformations of type \(D\) Kleinian singularities. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; quantum groups; quantum 2 Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Quantum groups (quantized enveloping algebras) and related deformations Noncommutative geometry of homogenized quantum \(\mathfrak{sl}(2, \mathbb{C})\) | 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 elliptic algebra; Sklyanin algebra; twisted homogeneous coordinate ring; characteristic variety Noncommutative algebraic geometry, Sheaves in algebraic geometry, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras) Maps from Feigin and Odesskii's elliptic algebras to twisted homogeneous coordinate rings | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Noetherian graded rings; noncommutative projective geometry; strongly Noetherian rings; graded algebras; coordinate rings Rogalski, D, Generic noncommutative surfaces, Adv. Math., 184, 289-341, (2004) Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras) Generic noncommutative surfaces. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; regular algebras; quantum spaces; point modules; point schemes; Hilbert series Stephenson, Darin R.; Vancliff, Michaela, Some finite quantum \(\mathbb{P}^3\)s that are infinite modules over their centers, J. Algebra, 297, 1, 208-215, (2006) Rings arising from noncommutative algebraic geometry, Quadratic and Koszul algebras, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras) Some finite quantum \(\mathbb{P}^3\)s that are infinite modules over their centers. | 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 algebras; Fano algebras; connected algebra; noncommutative projective curve; noncommutative projective plane; Yoneda Ext-algebra; Koszula algebras Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Classification problems in noncommutative algebraic geometry and representation theory | 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 dense orbit; noncommutative complex plane Group actions on varieties or schemes (quotients), Noncommutative algebraic geometry, Noncommutative geometry in quantum theory, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Rings arising from noncommutative algebraic geometry On action of symplectomorphisms of the complex plane on pairs of matrices. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Kleinian singularities; noncommutative deformations; minimal resolution; quantizations; \(\mathbb{Z}\)-algebras M. Boyarchenko, Quantization of minimal resolutions of Kleinian singularities, Adv. Math., 211 (2007), 244--265. Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Deformations of singularities, Geometric invariant theory, Representations of associative Artinian rings, Module categories in associative algebras, Deformations of associative rings, Modifications; resolution of singularities (complex-analytic aspects), Graded rings and modules (associative rings and algebras) Quantization of minimal resolutions of Kleinian singularities. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative projective geometry; noncommutative surfaces; Noetherian graded rings; Sklyanin algebra; noncommutative blowup Rogalski, D, Blowup subalgebras of the Sklyanin algebra, Adv. Math., 226, 1433-1473, (2011) Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras) Blowup subalgebras of 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 finite Cohen-Macaulay representation type; graded isolated singularity; AS-Cohen-Macaulay algebras; noncommutative quadric hypersurfaces 10.1090/proc/12527 Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Cohen-Macaulay modules in associative algebras, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry Noncommutative graded algebras of finite Cohen-Macaulay representation type | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.