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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Chan, Daniel: Lectures on orders Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Associative algebras and orders
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Cohen-Macaulay modules in associative algebras, Representation type (finite, tame, wild, etc.) of associative algebras, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Stangle, J., Gorenstein and totally reflexive orders, J. Algebra, 477, 56-68, (2017) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Derived categories and associative algebras, Abelian categories, Grothendieck categories
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Kuznetsov, A.: Exceptional collections in surface-like categories. arXiv:1703.07812 Noncommutative algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Rational and ruled surfaces
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Vector and tensor algebra, theory of invariants, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative geometry (à la Connes), Noncommutative algebraic geometry, Noncommutative differential geometry, Rings arising from noncommutative algebraic geometry, Noncommutative geometry in quantum theory
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Cohen-Macaulay modules in associative algebras, Graded rings and modules (associative rings and algebras)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Topological and ordered rings and modules, Noncommutative algebraic geometry, Infinite-dimensional and general division rings, Ordered rings, algebras, modules, Endomorphism rings; matrix rings
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Category-theoretic methods and results in associative algebras (except as in 16D90), Schemes and morphisms
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative geometry (à la Connes), Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Exterior algebra, Grassmann algebras
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Graded rings and modules (associative rings and algebras), Module categories in associative algebras, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Sheaves in algebraic geometry, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 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
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Representations of orders, lattices, algebras over commutative rings, Deformations of associative rings, Hecke algebras and their representations, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces doi:10.1090/S0002-9947-2010-05110-4 Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Group actions on varieties or schemes (quotients), Graded rings and modules (associative rings and algebras)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Nafari, M.; Vancliff, M., Graded skew Clifford algebras that are twists of graded Clifford algebras, Communications in Algebra, 43, 719-725, (2015) Rings arising from noncommutative algebraic geometry, Quadratic and Koszul algebras, Ordinary and skew polynomial rings and semigroup rings, Clifford algebras, spinors, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Homological functors on modules (Tor, Ext, etc.) in associative algebras, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Vancliff, On the notion of complete intersection outside the setting of skew polynomial rings, Comm. Algebra Rings arising from noncommutative algebraic geometry, Ordinary and skew polynomial rings and semigroup rings, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Complete intersections, Clifford algebras, spinors, Noncommutative algebraic geometry, Universal enveloping (super)algebras, Graded rings and modules (associative rings and algebras)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Kontsevich, Maxim; Rosenberg, Alexander L., Noncommutative smooth spaces, (The Gelfand Mathematical Seminars, 1996-1999, Gelfand Math. Sem., (2000), Birkhäuser Boston Boston, MA), 85-108 Noncommutative algebraic geometry, Noncommutative geometry (à la Connes), Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Sierra, S.J.; Walton, C., Maps from the enveloping algebra of the positive Witt algebra to regular algebras, Pacific J. math., 284, 2, 475-509, (2016) Noncommutative algebraic geometry, Universal enveloping algebras of Lie algebras, Rings arising from noncommutative algebraic geometry, Virasoro and related algebras
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Noncommutative algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Quadratic and Koszul algebras, Coalgebras and comodules; corings, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces DOI: 10.1080/00927879608825560 Valuations, completions, formal power series and related constructions (associative rings and algebras), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Schemes and morphisms, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces DOI: 10.1007/BF02807203 Simple and semisimple modules, primitive rings and ideals in associative algebras, Abelian categories, Grothendieck categories, Topological and ordered rings and modules, Noncommutative algebraic geometry, Associative rings of functions, subdirect products, sheaves of rings, Module categories in associative algebras
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Polishchuk, A.: Holomorphic bundles on \(2\)-dimensional noncommutative toric orbifolds. In: Consani, C., Marcolli, M. (eds.) Noncommutative Geometry and Number Theory, pp. 341-359. Vieweg, Wiesbaden (2006) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Holomorphic bundles and generalizations
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Dennis S. Keeler, ``Ample filters of invertible sheaves'', J. Algebra259 (2003) no. 1, p. 243-283 Noncommutative algebraic geometry, Vanishing theorems in algebraic geometry, Divisors, linear systems, invertible sheaves, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Mori, I.: On the classification of decomposable quantum ruled surfaces, Ring Theory 2007. World Sci. Publ., 126-140 (2009) Rational and ruled surfaces, Noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Arkhipov, Sergey; Bezrukavnikov, Roman; Ginzburg, Victor, Quantum groups, the loop Grassmannian, and the Springer resolution, J. Amer. Math. Soc., 0894-0347, 17, 3, 595\textendash 678 pp., (2004) Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Cohomology theory for linear algebraic groups
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Algebraic moduli problems, moduli of vector bundles, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Smith, S. Paul, A quotient stack related to the Weyl algebra, J. Algebra, 345, 1, 1-48, (2011) Graded rings and modules (associative rings and algebras), Rings of differential operators (associative algebraic aspects), Generalizations (algebraic spaces, stacks), Noncommutative algebraic geometry, Curves in algebraic geometry, Module categories in associative algebras, Group actions on varieties or schemes (quotients), Principal ideal rings, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Zhou, G-S; Lu, D-M, Artin-Schelter regular algebras of dimension five with two generators, J Pure Appl Algebra, 218, 937-961, (2014) Rings arising from noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Syzygies, resolutions, complexes in associative algebras
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Collections of abstracts of lectures, Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to associative rings and algebras, Noncommutative algebraic geometry, Finite-dimensional division rings, Rings arising from noncommutative algebraic geometry, Growth rate, Gelfand-Kirillov dimension
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces J.~T. Stafford and M. van~den Bergh, \emph{Noncommutative curves and noncommutative surfaces}, Bull. Amer. Math. Soc. (N.S.) \textbf{38} (2001), no.~2, 171--216. \MR{1816070} Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Growth rate, Gelfand-Kirillov dimension, Graded rings and modules (associative rings and algebras)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces DOI: 10.1080/00927872.2014.942423 Rings arising from noncommutative algebraic geometry, Quadratic and Koszul algebras, Ordinary and skew polynomial rings and semigroup rings, Clifford algebras, spinors, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Nevins T.A., Stafford J.T., Sklyanin algebras and Hilbert schemes of points, Adv. Math., 2007, 210(2), 405--478 Noncommutative algebraic geometry, Parametrization (Chow and Hilbert schemes), Fine and coarse moduli spaces, Free, projective, and flat modules and ideals in associative algebras, Rings arising from noncommutative algebraic geometry, Symplectic structures of moduli spaces
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Noncommutative algebraic geometry, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Derived categories and associative algebras, Universal enveloping algebras of Lie algebras, Rings of differential operators (associative algebraic aspects), Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Noncommutative geometry (à la Connes), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Rings arising from noncommutative algebraic geometry, Quantum groups (quantized function algebras) and their representations, Ring-theoretic aspects of quantum groups
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Formal methods and deformations in algebraic geometry, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Birational geometry, Vector bundles on curves and their moduli
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Smith, SP, The space of Penrose tilings and the non-commutative curve with homogeneous coordinate ring \(####\), J. Noncommut. Geom., 8, 541-586, (2014) Noncommutative algebraic geometry, Grothendieck groups, \(K\)-theory, etc., von Neumann regular rings and generalizations (associative algebraic aspects), Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), \(K_0\) as an ordered group, traces, Tilings in \(2\) dimensions (aspects of discrete geometry), Tilings in \(n\) dimensions (aspects of discrete geometry), Noncommutative geometry (à la Connes)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Vancliff, M; Rompay, K, Four-dimensional regular algebras with point scheme a nonsingular quadric in \(\mathbb{P}^3\), Commun. Algebra, 28, 2211-2242, (2000) Quadratic and Koszul algebras, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces D. Kussin, \emph{Non-isomorphic derived-equivalent tubular curves and their associated tubular algebras}, J. Algebra \textbf{226} (2000), no.~1, 436--450. \MR{1749898 (2001d:16025)} Noncommutative algebraic geometry, Noncommutative geometry (à la Connes), Representations of orders, lattices, algebras over commutative rings, Grothendieck groups (category-theoretic aspects), Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Cirio, L.; Landi, G.; Szabo, R.J., Algebraic deformations of toric varieties II: noncommutative instantons, Adv. Theor. Math. Phys., 15, 1817-1907, (2011) Noncommutative algebraic geometry, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Toric varieties, Newton polyhedra, Okounkov bodies, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Representation type (finite, tame, wild, etc.) of associative algebras, Rings arising from noncommutative algebraic geometry, Ordinary and skew polynomial rings and semigroup rings, Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Ore rings, multiplicative sets, Ore localization, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Cohen-Macaulay modules, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces D. Rogalski, S. J. Sierra and J. T. Stafford, Classifying orders in the Sklyanin algebra, 2013.arXiv:1308.2213 Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Graded rings and modules (associative rings and algebras), Rings arising from noncommutative algebraic geometry, Elliptic curves, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Bellamy, G., \textit{on singular Calogero-Moser spaces}, Bull. Lond. Math. Soc., 41, 315-326, (2009) Noncommutative algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rings arising from noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Reflection and Coxeter groups (group-theoretic aspects)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Vancliff, M.; Veerapen, P. P., Point modules over regular graded skew Clifford algebras, Journal of Algebra, 420, 54-64, (2014) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Quadratic and bilinear forms, inner products, Clifford algebras, spinors, Forms and linear algebraic groups, Ordinary and skew polynomial rings and semigroup rings
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Etingof P., Ginzburg V.: Noncommutative complete intersections and matrix integrals. Pure Appl. Math. Q. 3, 107--151 (2007) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Representation theory of associative rings and algebras
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Automorphisms and endomorphisms
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces J. T. Stafford and J. J. Zhang, ''Examples in non-commutative projective geometry,'' Math. Proc. Cambridge Philos. Soc., 116, No. 3, 415--433 (1994). Noetherian rings and modules (associative rings and algebras), Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry, Homological functors on modules (Tor, Ext, etc.) in associative algebras, Associative rings of functions, subdirect products, sheaves of rings
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Growth rate, Gelfand-Kirillov dimension, Graded rings and modules (associative rings and algebras)
| 0
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces 10.1007/s10468-014-9515-6 Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Division rings and semisimple Artin rings, Endomorphism rings; matrix rings, Rings with polynomial identity, Generalizations (algebraic spaces, stacks)
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Helton, J. W.; Klep, I.; Nelson, C. S., Noncommutative polynomials nonnegative on a variety intersect a convex set, J. Funct. Anal., 266, 6684-6752, (2014) Real algebra, Noncommutative algebraic geometry, Operator spaces and completely bounded maps, Semidefinite programming, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Semialgebraic sets and related spaces
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Cortiñas, G., De Rham and infinitesimal cohomology in kapranov's model for noncommutative algebraic geometry, Compos. math., 136, 171-208, (2003) Noncommutative algebraic geometry, de Rham cohomology and algebraic geometry, \(K\)-theory and homology; cyclic homology and cohomology, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces G. Leuschke. \textit{Non-commutative Crepant Resolutions: Scenes from Categorical Geometry}, arXiv:math.AG/1103.5380v1. Research exposition (monographs, survey articles) pertaining to commutative algebra, Global theory and resolution of singularities (algebro-geometric aspects), Derived categories and associative algebras, Rings arising from noncommutative algebraic geometry, Cohen-Macaulay modules, Noncommutative algebraic geometry
| 0
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Minimal model program (Mori theory, extremal rays), Quadratic and Koszul algebras
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Centralizing and normalizing extensions, Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Torsion theories; radicals on module categories (associative algebraic aspects), Localization of categories, calculus of fractions
| 0
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to associative rings and algebras, Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to combinatorics, Representations of quivers and partially ordered sets, Ideals in associative algebras, Rings arising from noncommutative algebraic geometry, Connections of Hopf algebras with combinatorics, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Poisson algebras, Applications of Lie algebras and superalgebras to integrable systems, Relationships between algebraic curves and integrable systems, Noncommutative algebraic geometry, Factorials, binomial coefficients, combinatorial functions, Combinatorial aspects of representation theory, Free semigroups, generators and relations, word problems
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Bocklandt, R., Le Bruyn, L.: Necklace Lie algebras and noncommutative symplectic geometry. Math. Z. \textbf{240}, 141-167 (2002). arXiv:math/0010030 Representations of quivers and partially ordered sets, Infinite-dimensional Lie (super)algebras, Symplectic manifolds (general theory), Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Elliptic curves
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Vancliff M., Algebras and representation theory Graded rings and modules (associative rings and algebras), Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative algebraic geometry, Clifford algebras, spinors, Rings arising from noncommutative algebraic geometry, Quantum groups and related algebraic methods applied to problems in quantum theory
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Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Yuri I. Manin, Theta functions, quantum tori and Heisenberg groups, Lett. Math. Phys. 56 (2001), no. 3, 295 -- 320. EuroConférence Moshé Flato 2000, Part III (Dijon). Noncommutative algebraic geometry, Theta functions and abelian varieties, Rings arising from noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative geometry (à la Connes)
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