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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. Halbout, X. Tang, Dunkl operator and quantization of Z/2-singularity. J. für die Reine und Ang. Mat. 2012(673), 209-235 Geometric quantization, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Lie algebras of linear algebraic groups
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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 Frønsdal, C.; Kontsevich, M., Quantization on curves, Lett. Math. Phys., 79, 109-129, (2007) Deformation quantization, star products, Noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Associative rings of functions, subdirect products, sheaves of rings, Geometry and quantization, symplectic methods
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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 Martino M.: The Associated variety of a Poisson Prime Ideal. J. London Math. Soc. 72(2), 110--120 (2005) Noncommutative algebraic geometry, Filtered associative rings; filtrational and graded techniques, Prime and semiprime associative rings, Rings arising from noncommutative algebraic geometry, Deformations of associative rings, Poisson algebras
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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 Tomlin, D., Vancliff, M.: The one-dimensional line scheme of a family of quadratic quantum \({\mathbb{P}}^{3}\)s (2017) \textbf{(preprint)}. arXiv:1705.10426 Noncommutative algebraic geometry, Quadratic and Koszul algebras, Rings arising from noncommutative algebraic geometry
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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, Mirror symmetry (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds
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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 Cassidy, T.: Central extensions of stephenson's algebras. Comm. algebra 31, No. 4, 1615-1632 (2003) Graded rings and modules (associative rings and algebras), Rings arising from noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Filtered associative rings; filtrational and graded techniques, Noncommutative algebraic geometry
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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 Ordinary and skew polynomial rings and semigroup rings, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, 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 DOI: 10.1090/conm/562/11139 Rings arising from noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry
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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 Singularities of surfaces or higher-dimensional varieties, Noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Twisted and skew group rings, crossed products, Rings arising from noncommutative algebraic geometry, Actions of groups and semigroups; invariant theory (associative rings and algebras)
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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 Laudal O., Algebraic Geometry 687 pp 31-- (1978) 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, Rational and birational maps, Elliptic curves, Noetherian rings and modules (associative rings and algebras), Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Abelian categories, Grothendieck categories
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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 Abhyankar, S.: Uniformization in a \( p\)-cyclic extension of a two dimensional regular local domain of residue field characteristic \( p\) . Festschrift zur Gedächtnisfeier für Karl Weierstrass 1815 - 1965, Wissenschaftliche Abhandlungen des Landes Nordrhein-Westfalen \textbf{33} (1966), 243-317, Westdeutscher Verlag, Köln und Opladen Noncommutative algebraic geometry, Cohen-Macaulay modules, Global theory and resolution of singularities (algebro-geometric aspects), Riemann-Roch theorems, Rings arising from noncommutative algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Representations of quivers and partially ordered sets
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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 Cassidy, T.; Vancliff, M., Corrigendum to ``generalizations of graded Clifford algebras and of complete intersections'', Journal of the London Mathematical Society, 90, 631-636, (2014) Rings arising from noncommutative algebraic geometry, Quadratic and Koszul algebras, Ordinary and skew polynomial rings and semigroup rings, Clifford algebras, spinors, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras)
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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 Škoda, Z.: Noncommutative localization in noncommutative geometry, Noncommutative localization in algebra and topology, 220-313 (2006) Torsion theories; radicals on module categories (associative algebraic aspects), Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Ore rings, multiplicative sets, Ore localization, Localization and associative Noetherian rings, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Localization of categories, calculus of fractions
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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, Quantum groups (quantized enveloping algebras) and related deformations, Rings with polynomial identity, 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, Free 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, Noncommutative algebraic geometry, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to associative rings and algebras, Rings arising from noncommutative algebraic geometry
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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 Daniel Chan, Noncommutative cyclic covers and maximal orders on surfaces, Adv. Math. 198 (2005), no. 2, 654 -- 683. Brauer groups of schemes, Rational and ruled surfaces, Noncommutative algebraic geometry
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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 Frédéric Latour, Representations of rational Cherednik algebras of rank 1 in positive characteristic , J. Pure Appl. Alg. 195 (2005), 97-112. Representations of orders, lattices, algebras over commutative rings, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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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, Syzygies, resolutions, complexes in associative 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 Cassidy, T., Vancliff, M.: Generalizations of Graded Clifford algebras and of complete intersections. J. Lond. Math. Soc. \textbf{81}, 91-112 (2010). (Corrigendum: \textbf{90}(2), 631-636 (2014)) Rings arising from noncommutative algebraic geometry, Quadratic and Koszul algebras, Ordinary and skew polynomial rings and semigroup rings, Clifford algebras, spinors, Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras)
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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, Local deformation theory, Artin approximation, etc., Calabi-Yau manifolds (algebro-geometric aspects), Rings arising from noncommutative algebraic geometry, Abelian categories, Grothendieck categories, Deformations of submanifolds and subspaces
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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 Rosenberg, A.L.: Noncommutative schemes. Comp. Math. 112, 93--125 (1995) 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 Kapranov M.: Noncommutative geometry based on commutator expansions. J. Reine Angew. Math. 505, 73--118 (1998) Noncommutative algebraic geometry, Noncommutative differential geometry, Associative rings of functions, subdirect products, sheaves of rings
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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 Brown, K. A., Symplectic reflection algebras, Irish Math. Soc. Bull., 50, 27-49, (2003) Noetherian rings and modules (associative rings and algebras), Poisson algebras, Poisson manifolds; Poisson groupoids and algebroids, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Group actions on varieties or schemes (quotients), Rings arising from noncommutative algebraic geometry, Twisted and skew group rings, crossed products, Deformations of associative rings
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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 Ramdorai, S.; Plazas, J.; Marcolli, M.: Introduction to motives. Noncommutative geometry and physics: renormalisation, motives, index theory, 41-88 (2011) (Equivariant) Chow groups and rings; motives, Cohomology theory for linear algebraic groups, \(K\)-theory and homology; cyclic homology and cohomology, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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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, Schemes and morphisms, Graded rings and modules (associative rings and 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 Bueso, J. L., Jara, P., and Verschoren, A., Compatibility, stability and sheaves: un ménage à trois, monograph, to appear. Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Torsion theories; radicals on module categories (associative algebraic aspects), Associative rings of functions, subdirect products, sheaves of rings, Localization and associative Noetherian rings, Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Module categories in associative algebras, General radicals and associative rings, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
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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.: Noncommutative projective schemes and point schemes. In: Algebras, Rings and Their Representations, pp. 215-239. World Scientific, Hackensack (2006) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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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), Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Cohen-Macaulay modules in associative algebras
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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 Andruskiewitsch, N., Angiono I., Heckenberger, I.: Liftings of Jordan and super Jordan planes. In: Proceedings of the Edinburgh Mathematical Society, series II, to appear. arXiv:1512.09271 Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Representations of orders, lattices, algebras over commutative rings, Quadratic and Koszul algebras
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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 Laumon, G., Moret-Bailly, L.: Champs algébriques. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 39, Springer, Berlin (2000) Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras)
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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:10.1016/j.jalgebra.2010.05.005 Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry
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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 Craw, A; Quintero Vélez, A, Cellular resolutions of noncommutative toric algebras from superpotentials, Adv. Math., 229, 1516-1554, (2012) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Syzygies, resolutions, complexes in associative algebras, Representations of quivers and partially ordered sets
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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, Noetherian rings and modules (associative rings and algebras), Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Elliptic curves, Minimal model program (Mori theory, extremal rays)
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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: 10.1023/A:1016070804549 Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Category-theoretic methods and results in associative algebras (except as in 16D90)
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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 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 Adam Nyman, Serre finiteness and Serre vanishing for non-commutative \Bbb P\textonesuperior -bundles, J. Algebra 278 (2004), no. 1, 32 -- 42. Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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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; Zhang, Jun, Classifying quadratic quantum \(\mathbb{P}^2\)s by using graded skew Clifford algebras, J. Algebra, 346, 152-164, (2011) Rings arising from noncommutative algebraic geometry, Quadratic and Koszul algebras, Clifford algebras, spinors, Noncommutative algebraic geometry, Ordinary and skew polynomial rings and semigroup rings, Graded rings and modules (associative rings and algebras)
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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 I. MORI AND S. P. SMITH, Bézout's theorem for noncommutative projective spaces, J. Pure Appl. Algebra 157 (2001), 279-299. Graded rings and modules (associative rings and algebras), Homological dimension in associative algebras, Noncommutative algebraic geometry, Grothendieck groups, \(K\)-theory, etc., Rings arising from noncommutative algebraic geometry
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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, GK-dimension of birationally commutative surfaces, Transactions of the American Mathematical Society 361 (2009), 5921--5945. Noncommutative algebraic geometry, Rational and birational maps, Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras)
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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; Oystaeyen, F.; Zhang, Y-H, Skew polynomial algebras with coefficients in Koszul Artin-Schelter regular algebras, J. Algebra, 390, 231-249, (2013) Rings arising from noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Ordinary and skew polynomial rings and semigroup rings, Quadratic and Koszul algebras, Homological functors on modules (Tor, Ext, etc.) in associative algebras
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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, Rational and ruled surfaces, Minimal model program (Mori theory, extremal rays)
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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 Gerritzen, L.: On Hopf algebras related to triangular matrices. Arch. math. 63, 302-310 (1994) Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative algebraic geometry, Endomorphism rings; matrix rings, Group schemes
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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., Noncommutative projective geometry, Noncommutative algebraic geometry, 13-70, (2016), Cambridge University Press: Cambridge University Press, New York Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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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 Ueyama, Kenta, Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities, J. Algebra, 383, 85-103, (2013) Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Cohen-Macaulay modules in associative algebras, Noncommutative algebraic geometry, Singularities in algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.)
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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 Berest, Y., Wilson, G.: Ideal classes of the Weyl algebra and noncommutative projective geometry. Int. Math. Res. Not. 2002(26), 1347--1396 (2002) (with an appendix by Michel Van den Bergh) Ordinary and skew polynomial rings and semigroup rings, Ideals in associative algebras, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Automorphisms and endomorphisms
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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, 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
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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 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
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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 Motivic cohomology; motivic homotopy theory, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, \(K\)-theory of schemes, Deformations of complex singularities; vanishing cycles
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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 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
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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 Presotto, D.; Den Bergh, M. Van: Noncommutative versions of some classical birational transformations. (2014) 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 Nyman, A, The geometry of arithmetic noncommutative projective lines, J. Algebra, 414, 190-240, (2014) 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, 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
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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 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)
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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, 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 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
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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., 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
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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, 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)
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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, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), 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 Generalizations (algebraic spaces, stacks), 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 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
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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 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
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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, M.: Noncommutative quadrics. Int. Math. Res. Not. IMRN \textbf{17}, 3983-4026 (2011) 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 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
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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 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
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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 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
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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 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
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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 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)
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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: 10.1016/j.jpaa.2014.09.027 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 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
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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 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
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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. 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)
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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 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
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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, 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
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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, 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
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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.; 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
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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 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
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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 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)
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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 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
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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.: The geometry of points on quantum projectivizations. J. algebra 246, 761-792 (2001) 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 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
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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 in quantum 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 Research exposition (monographs, survey articles) pertaining to algebraic geometry, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Categories in geometry and topology
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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., 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
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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 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)
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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, Filtered associative rings; filtrational and graded techniques, 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, Finite-dimensional division rings, Rings arising from noncommutative algebraic geometry, Growth rate, Gelfand-Kirillov dimension, Collections of abstracts of lectures
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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 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)
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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 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
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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 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
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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, 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
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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), Noncommutative algebraic geometry, Associative rings of functions, subdirect products, sheaves of rings, Ore rings, multiplicative sets, Ore localization
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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 Shelton B., Schemes of Line Modules 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, 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
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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, Deformations and infinitesimal methods in commutative ring theory, Lie algebras and Lie superalgebras, 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 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.)
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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 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
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