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semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Castelnuovo-Mumford regularity; graded module; quantum polynomial algebra; vanishing theorem; linear resolutions; syzygies; saturated ideal; Tor-modules; Gelfand-Kirillov dimension Jørgensen, P., Non-commutative Castelnuovo-Mumford regularity, Math. Proc. Camb. Phil. Soc., 125, 203-221, (1999) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) path algebras; maximal rank of homomorphisms; quivers; finitely generated right modules; dimension vectors; Grassmann varieties; bilinear forms; affine varieties; configuration spaces of representations; finitely presented right modules; simple Artinian rings Crawley-Boevey, W, On homomorphisms from a fixed representation to a general representation of a quiver, Trans. Am. Math. Soc., 348, 1909-1919, (1996) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) function fields of \(p\)-adic curves; classical groups; projective homogeneous spaces; local-global principle; unitary groups | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) arrangements of hyperplanes; cohomology of local systems on quasi-projective varieties; Orlik-Solomon algebras; complements to algebraic curves; complements to hyperplane arrangements; arrangements of lines in \(\mathbb P^2\); Deligne cohomology; Alexander invariants of plane algebraic curves; characteristic varieties A. Libgober and S. Yuzvinsky, ''Cohomology of local systems,'' in Arrangements--Tokyo 1998, Vol. 27 of Adv. Stud. Pure Math., Kinokuniya, Tokyo, 2000, pp. 169--184. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) homogeneous Poisson-commutative subalgebras; Mishchenko-Fomenko algebras; Gelfand-Tsetlin algebra; symmetric algebra of reductive Lie algebras; completeness on co-adjoint orbits; nilpotent orbits; integrable systems; moment map; coisotropic actions | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) multiplicity; local ring; graded linear series; projective scheme; volume of a line bundle; Kodaira-Iitaka dimension S. D. Cutkosky, ''Multiplicities of graded families of linear series and ideals,'' arXiv: 1301.5613 [math.AG]. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) homogeneous varieties; toric varieties; twisted forms; torsors; noncommutative motives; algebraic \(K\)-theory; cyclic homology; noncommutative algebraic geometry Tabuada, G, Additive invariants of toric and twisted projective homogeneous varieties via noncommutative motives, J. Algebra, 417, 15-38, (2014) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Euclidean domains; algebras of finite type over a field; diophantine geometry; integral points on curves; Euclidean algorithm; generalized Jacobian varieties | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Frieze patterns; quiver representations; cluster algebras; projective geometry; superperiodic difference equations; triangulations of polygons; Laurent polynomial; Dynkin quiver; Coxeter number Morier-Genoud, S., Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics, Bull. Lond. Math. Soc., 47, 895-938, (2015) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) local cohomology; free resolution; syzygies; graded module over polynomial ring; Bertini classification; Linear parts of resolutions; Castelnuovo regularity; rings of minimal multiplicity; projective varieties of minimal degree \beginbarticle \bauthor\binitsD. \bsnmEisenbud and \bauthor\binitsS. \bsnmGoto, \batitleLinear free resolutions and minimal multiplicity, \bjtitleJ. Algebra \bvolume88 (\byear1984), page 89-\blpage133. \endbarticle \OrigBibText David Eisenbud and Shiro Goto, Linear free resolutions and minimal multiplicity . J. Algebra 88 (1984), 89-133. \endOrigBibText \bptokstructpyb \endbibitem | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) deformation theory; Deligne conjecture; quantum algebra; rings and algebras; category theory; algebraic topology; algebraic geometry; operads; geometry of configuration spaces of points on surfaces; polynomial functors; minimal operad Kontsevich, M.; Soibelman, Y., Deformations of algebras over operads and the Deligne conjecture, (Proceedings of the Moshé Flato Conference. Proceedings of the Moshé Flato Conference, Math. Phys. Stud., vol. 21, (2000), Kluwer Acad. Publ.: Kluwer Acad. Publ. Dordrecht), 255-307 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) local Noetherian ring; ideal; height; minimum number of generators; complete intersection; conormal module; analytic spread; projective dimension; canonical module; Cohen-Macaulay ideals; Gorenstein ideals DOI: 10.1016/0022-4049(85)90023-4 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Auslander-Reiten sequences; positively graded algebras; projective resolutions; Yoneda Ext-algebras; categories of Koszul modules; derived categories; self-injective Koszul algebras; preprojective algebras; almost split sequences; coherent sheaves Roberto Martínez-Villa, Introduction to Koszul algebras, Rev. Un. Mat. Argentina 48 (2007), no. 2, 67 -- 95 (2008). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) central simple algebras; irreducible lattices; rings of invariants; function fields; normal varieties; coordinate rings; reduced traces; Cayley-Hamilton algebras; étale local classes; smooth orders Lieven Le Bruyn, ''Non-smooth algebra with smooth representation variety (asked in MathOverflow)'', | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) recursive topological definition; dimension of algebraic sets; equationally Noetherian algebraic systems; dimension functions; universal algebraic geometry; irreducible algebraic sets Daniyarova, E. Yu.; Myasnikov, A. G.; Remeslennikov, V. N., The dimension in universal algebraic geometry, Dokl. Math., 457, 3, 265-267, (2014) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) textbook (commutative ring theory); commutative rings and algebras; theory of modules and ideals; algebras; noetherian rings and modules; special rings | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative algebraic geometry; noncommutative projective line; noncommutative curve; two-sided vector space; noncommutative symmetric algebras; arithmetic noncommutative projective line Nyman, A, The geometry of arithmetic noncommutative projective lines, J. Algebra, 414, 190-240, (2014) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) category of matrix factorizations; compact generator; cohomology; differential graded derived category; differential graded algebra; noncommutative geometry T. Dyckerhoff, ``Compact generators in categories of matrix factorizations'', Duke Math. J.159 (2011) no. 2, p. 223-274 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) endomorphism rings of finite global dimension; maximal Cohen-Macaulay modules; Auslander-Reiten theory; ladder; noncommutative resolution | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) homotopy algebras; Gerstenhaber algebras; graded vector spaces; Poisson algebras; little disks operad; Hochschild cohomology; geometry of configurations of points; Hochschild complexes A. A. Voronov, Homotopy Gerstenhaber algebras, Conférence Moshé Flato 1999: Quantization, Deformation, and Symmetries. Vol. II (Dijon 1999), Math. Phys. Stud. 22, Kluwer Academic Publishers, Dordrecht (2000), 307-331. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Hilbert polynomial of the homogeneous coordinate rings of Schubert; varieties in the Grassmann manifold; big cell; bi-tableaux; determinantal varieties; Hilbert polynomial of the homogeneous coordinate rings of Schubert varieties in the Grassmann manifold Galligo, A.: Computations of some Hilbert functions related with Schubert calculus. Lecture notes in mathematics 1124 (1985) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) essential dimension; central simple algebras; projective linear groups; lattices; essential \(p\)-dimension; Brauer groups; Severi-Brauer varieties; \(R\)-equivalence; Chow groups; character groups of algebraic tori A. Meyer, Z, Reichstein, An upper bound on the essential dimension of a central simple algebra, J. Algebra 329 (2011), 213--221. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) projective geometry; history of mathematics; hyperbolic geometry; convex geometry; differential geometry; conics; surfaces; dynamical systems; combinatorial geometry; algebraic curves Marcel Berger, \textit{Geometry Revealed--A Jacob's Ladder to Modern Higher Geometry}, Springer-Verlag, Heidelberg (2010). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) non-commutative calabi-Yau algebras; twisted coordinate ring; non-commutative Calabi-Yau projective schemes; Calabi-Yau condition; quantum projective space DOI: 10.1016/j.jpaa.2014.09.027 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Ext-groups; AS-Gorenstein algebras; Frobenius Koszul algebras; noncommutative projective geometry Mori, I, Asymmetry of ext-groups, J. Algebra, 322, 2235-2250, (2009) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) deformations of coordinate rings; Kleinian singularities; finitely generated projective modules; quiver varieties; rings of invariants Eshmatov, F.: DG-models of projective modules and nakajima quiver varieties. (2006) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Morita matrix rings; commutative MM rings; full matrix rings; finitely-generated projective modules; polynomial identities; von Neumann regular algebras; rings of formal power series; partial quotient rings; Picard groups; ideal class groups P. Merisi and P. Vámos, On rings whose Morita class is represented by matrix rings , J. Pure Appl. Alg. 126 (1998), 297-315. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Koszul algebras; universal graded deformations; arrangements of hyperplanes; equivariant cohomology rings; category \(\mathcal O\); hypertoric varieties T. Braden, A. Licata, C. Phan, N. Proudfoot, B. Webster, Localization algebras and deformations of Koszul algebras, to appear in Selecta Math., DOI: 10.1007/s00029-011-0058-y , http://arxiv.org/abs/0905.1335 . | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) tilting bundles; weighted projective lines; canonical algebras; rings of semi-invariants; quivers with relations; algebras of invariants Bobiński, G., Semi-invariants for concealed-canonical algebras, J. pure appl. algebra, 219, 1, 59-76, (2015) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) dimension; Jacobian matrix; tangent star algebra; polarization; module of derivations; associated graded rings Simis, A.: Two differential themes in characteristic zero. Contemp. math. 324, 195-204 (2003) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) weighted projective lines of genus one; tubular mutations; exceptional indecomposable vector bundles; distinguished triangles; elliptic curves; categories of graded coherent sheaves; derived categories; natural transformations H. Meltzer, Tubular mutations, Colloq. Math., 74 (1997), no. 2, 267--274. Zbl 0886.16013 MR 1477569 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative algebraic geometry; elliptic curves; quotients of Stein varieties; category of coherent sheaves; Rieffel's theorem; non-Archimedean quantum tori Yan Soibelman and Vadim Vologodsky, Noncommutative compactifications and elliptic curves, Int. Math. Res. Not. 28 (2003), 1549 -- 1569. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) regular algebras; graded rings; global dimension; Grothendieck group | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) algebraic geometry; free groups; free products; equations over groups; algebraic sets; coordinate groups; Zarisky topology; Nullstellensatz; equationally Noetherian groups; categories of groups; \(G\)-groups Gilbert Baumslag, Alexei Myasnikov, and Vladimir Remeslennikov, Algebraic geometry over groups, Algorithmic problems in groups and semigroups (Lincoln, NE, 1998) Trends Math., Birkhäuser Boston, Boston, MA, 2000, pp. 35 -- 50. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) categories of graded finitely generated modules; complex connected reductive algebraic groups; coordinate rings; Grothendieck groups; Euler characters of sheaves; global sections of line bundles | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) rings of invariants; graded rings; character groups; symmetric groups; ring of symmetric functions; coordinate rings; characteristic isomorphism; character theory of symmetric groups; Young subgroups; generalized Schur functions; trace functions Stephen Donkin (1993). Invariant functions on matrices. \textit{Mathematical Proceedings of the Cambridge Philosophical Society}\textbf{113}, 23-43. ISSN 1469-8064. URL http://journals.cambridge.org/article_S0305004100075757. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) projective plane curves; plane curve singularities; nodes; cusps; homogeneous zero-dimensional singularities; fat points; infinitely near points; cluster schemes, constellations; Noether's formula, Newton diagrams; conductor scheme; normalization; Hilbert functor; global deformation theory; equisingular families; equisingular deformations with section; simultaneous deformations; Hilbert-Samuel polynomial; multiplicity; polar curves; dual curves; Hesse problem; Gordan-Noether theorem; joint versal deformations; resolution; blowing up; patchworking construction; hypersurfaces; Horace method; Castelnuovo function; vanishing criteria; toric geometry; tropical geometry | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative algebraic geometry; derived noncommutative schemes; differential graded algebras; triangulated categories; perfect modules and complexes | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) genus 7; genus 8; genus 9; classification of smooth projective complex curves; canonical rings; symmetric spaces S. Mukai, ''Curves and symmetric spaces,'' Proc. Japan Acad. Ser. A Math. Sci., vol. 68, iss. 1, pp. 7-10, 1992. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) projective linear group; degree; stabilizer; blow-up; orbit closure; PGL(3)-orbit; enumerative geometry of plane curves DOI: 10.5802/aif.1750 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) partially ordered set; ordinal number; universal algebraic geometry; algebraic structure; irreducible algebraic set; coordinate algebra; Zariski dimension; radical dimension; Krull dimension; projective dimension | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) quantum polynomial rings; noncommutative projective geometry; ring theory; torus actions Belmans, P., De Laet, K., Le Bruyn, L. (2015). The point variety of quantum polynomial rings, arXiv preprint arXiv:1509.07312. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) quantum groups; coordinate rings of quantum matrices; algebras of coinvariants; invariant theory; reflection equation algebras; harmonic polynomials Aizenbud, A.; Yacobi, O., A quantum analogue of kostant's theorem for the general linear group, J. Algebra, 343, 183-194, (2011) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) graded algebras; minimal graded resolution; homogeneous coordinate ring [CRV2] Cavaliere, M.P., Rossi, M.E., Valla, G.: On the resolution of certain graded algebras. Trans. Am. Math. Soc.337, (1), 389--409 (1993) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) faithful dimension of finite groups; Kirillov's orbit method; Lazard correspondence; Frobenius sets; free nilpotent Lie algebras | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) algebraic theory of quadratic forms; Witt groups and rings; algebraic \(K\)-theory; algebraic cycles; Chow groups and rings; cohomology operations; motives; projective quadrics Elman, R.; Karpenko, N.; Merkurjev, A., \textit{The Algebraic and Geometric Theory of Quadratic Forms}, 56, (2008), Providence, RI | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) quadratic algebras; PBW-algebras; integrable systems; deformation quantizations; moduli spaces; elliptic curves; graded algebras A. V. Odesskii, ''Elliptic algebras,'' Russ. Math. Surv., 57, No.6, 1127--1162 (2002). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) tame algebras; growth functions; varieties of module structures; algebraic curves; indecomposable structures Brüstle, Th.: On the growth function of tame algebra. C. R. Acad. sci. Paris 322, No. Sèrie I, 211-215 (1996) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative tori; real multiplication; Stark numbers; real quadratic fields; spectral triples; noncommutative boundary of modular curves; modular shadows; quantum statistical mechanics | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) coordinate method; pro-\(\ell\) fundamental groups; pro-\(\ell\) mapping class groups; anabelian algebraic geometry; hyperbolic geometry; algebraic curves; Galois theory of moduli spaces Hiroaki Nakamura, Galois rigidity of profinite fundamental groups, Sūgaku 47 (1995), no. 1, 1 -- 17 (Japanese). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) textbook; partially ordered sets; Zorn's lemma; number theory; fields; rings; abelian groups; polynomials; field extension; formal power series; polynomial rings; finite fields; power series; rational function; Bernoulli numbers; Puiseux series; Laurent series; ideals; quotient rings; factorization; Noetherian rings; prime ideals; principal ideal domains; cyclic groups; homomorphism; group action; quotient group; symmetric group; semidirect product; Sylow group; modules; free modules; commutative ring; Smith normal form; elementary divisor; Jordan form; Hermitian space; projective space; bilinear form; symplectic space; quadratic form; Kähler triples; quaternions; spinors | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) basic sequence of homogeneous ideal in a polynomial ring; Weierstrass polynomials; free resolutions; local cohomology; graded Buchsbaum rings Amasaki M.: Application of the generalized Weierstrass preparation theorem to the study of homogeneous ideals. Trans. Am. Math. Soc. 317, 1--43 (1990) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) algebraic geometry; algebraic structures; unification; coordinate algebras of algebraic sets Daniyarova E. Y., Myasnikov A. G. and Remeslennikov V. N., Algebraic geometry over algebraic structures. II: Foundations, J. Math. Sci. 185 (2012), no. 3, 389-416. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) algebraic groups; irreducible representations; Hopf algebras; Lie algebras; unipotent algebraic groups; tensor product; semisimple group representations; varieties; dimension theory of local rings; tangent spaces; Borel subgroups; Galois cohomology; automorphism groups; weights; universal enveloping algebra Hochschild, G.P.: Basic theory of algebraic groups and Lie algebras. Graduate Texts Math. \textbf{75}, (1981) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) projective geometry; elliptic functions; Differential geometry; Analytical geometry; Correspondence principle; Singularities; Curves; Surfaces; Abelian Functions; History of Mathematics; Algebraic Geometry; Functions of a Complex Variable Enriques, F., Chisini O.: Lezioni sulla teoria geometrica delle equazioni e delle funzioni algebriche. 1. Vol. I, II, volume 5 of Collana di Matematica [Mathematics Collection]. Nicola Zanichelli Editore S.p.A., Bologna. Reprint of the 1924 and 1934 editions (1985) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Gröbner bases; Hilbert functions; homogeneous rings; graded rings; Cayley-Bacharach property; gradings; minimal homogeneous system of generators; minimal resolution conjecture; multivariante Hilbert series; CoCoA; SAGBI bases; automatic theorem proving M. Kreuzer and L. Robbiano, \textit{Computational Commutative Algebra 2}, Springer Science & Business Media, 2005. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) gauge theory; topological field theory; cohomological methods of quantum field theory; graded differential geometry; Batalin-Vilkovisky algebras Zucchini, R., The gauging of BV algebras, J. Geom. Phys., 60, 1860, (2010) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) twisted presheaf; quasi-compact semiseparated twisted presheaf; qcss twisted presheaf; noncommutative deformation; presheaf of noncommutative algebras; deformation of abelian categories; Hochschild cohomology; Toda's construction; Gestenhaber-schack complex; deformation quantization; deformation of algebras Dinh Van, H.; Liu, L.; Lowen, W., Non-commutative deformations and quasi-coherent modules, Selecta Math., 23, 2, 1061-1119, (2016) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) enveloping algebra of the Heisenberg Lie algebra; standard algebras with 2 or 3 generators; effective criterion to decide whether a given standard algebra of dimension 3 is regular; automorphisms of elliptic curves Artin, M., Tate, J., Van den Bergh, M.: Some Algebras Associated to automorphisms of Elliptic Curves, The Grothendieck Festschrift, vol. 1, Progress in Mathematics, vol. 86, pp. 33-85. Brikhäuser, Basel (1990) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) characterization of p-adic analytic groups; projective limit of finite p-groups; totally discontinuous compact groups; correspondence with Lie algebras; cohomological dimension; continuous cohomology; analytic cohomology; cohomology of Lie algebras M. Lazard, Groupes analytiques \textit{p}-adiques, Inst. Hautes Études Sci. Publ. Math. (1965), no. 26, 389-603. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) C-M type; number of generators; free resolution of homogeneous coordinate ring; primary monomial ideals in polynomial ring; points in the projective space; combinatorial point of view Geramita A. V., Gregory D., Roberts L.,Monomial ideals and points in projective space, preprint 1983. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Gröbner basis; arithmetically Buchsbaum; Cohen-Macaulay curve; minimal generators of the homogeneous ideal of monomial projective curves | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Clifford algebras; Euler characteristics; Quadratic fibrations; mirror symmetry; string theory; Calabi-Yau manifolds; nonlinear sigma models; Calabi-Yau manifolds; superstring theory; mirror symmetric pair; symplectic; Fukaya category; bounded derived category; Homological Projective Duality; complete intersection of quadrics; Lefshetz decomposition; non-commutative algebraic variety; Clifford non-commutative varieties; Hodge numbers; Batyrev's stringy Hodge numbers; Clifford-stringy Euler characteristics | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) model category; chain complexes of sheaves; projective dimension; noetherian scheme; quasi-coherent; cofibrant; monoidal Hovey, M., \textit{model category structures on chain complexes of sheaves}, Trans. Amer. Math. Soc., 353, 2441-2457, (2001) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) central simple algebras; Brauer groups; adjoint semisimple linear algebraic groups; Borel varieties; twisted flag varieties; projective varieties; change of Schur index; function fields; groups of inner type; parabolic subgroups; index reduction formula; Brauer-Severi varieties A. S. Merkurjev, I. A. Panin, A. R. Wadsworth, \textit{Index reduction formulas for twisted flag varieties}. I, \(K\)-Theory \textbf{10} (1996), no. 6, 517-596. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) algebraic curves; real algebraic geometry; projective curves; conic sections; celestial mechanics; Hilbert's 16th problem; topology of algebraic curves; Riemann surfaces | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative schemes; quantum planes; Artin-Schelter regular algebras; categories of graded right modules; finite-dimensional modules; Ore extensions; graded automorphisms; point modules Darin R. Stephenson, Quantum planes of weight (1,1,\?), J. Algebra 225 (2000), no. 1, 70 -- 92. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) finite groups of automorphisms; symplectic vector spaces; multi-parameter deformations; symplectic reflection algebras; coordinate rings; McKay correspondence; Weyl groups; double affine Hecke algebras; Harish-Chandra homomorphisms; invariant polynomial differential operators; Calogero-Moser differential operators P. Etingof and V. Ginzburg, Symplectic reflection algebras, Calogero--Moser space, and deformed Harish-Chandra homomorphism, \textit{Invent. Math.}, 147 (2002), no. 2, 243--348. Zbl 1061.16032 MR 1881922 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Grothendieck representations; graded rings; spectral representations; noncommutative schemes; Grothendieck categories; noncommutative algebraic geometry | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Artin's projective geometry; graded algebras; line modules; homogenization; enveloping algebra; Verma modules Lieven Le Bruyn and S. P. Smith, Homogenized \?\?(2), Proc. Amer. Math. Soc. 118 (1993), no. 3, 725 -- 730. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) rationality of Poincaré series; determinantal rings; extremely compressed algebras; Gorenstein rings; Pfaffian coordinate rings | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) very ampleness; canonical curve; finite cover; homogeneous rings of a projective variety; finite morphism; Calabi-Yau threefolds F. J. Gallego and B. P. Purnaprajna, Some homogeneous rings associated to finite morphisms, Preprint. To appear in ``Advances in Algebra and Geometry'' (Hyderabad Conference 2001), Hindustan Book Agency (India) Ltd. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) representation theory of finite-dimensional algebras; tame hereditary algebras; tame bimodules; noncommutative curves of genus zero; noncommutative function fields of genus zero D. Kussin, Parameter curves for the regular representations of tame bimodules, J. Algebra, 320 (2008), no. 6, 2567--2582.Zbl 1197.16017 MR 2437515 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative projective geometry; generalized Weyl algebra; graded module category; category equivalence | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) canonical algebras; module varieties; complete intersections; algebras of semi-invariants; representation spaces of quivers; Auslander-Reiten translations; homogeneous dimension vectors G. Bobiński, On the zero set of semi-invariants for homogeneous modules over canonical algebras, J. Algebra (in press) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Kleinian singularities of type \(D\); noncommutative deformations; simply laced Dynkin diagrams; coordinate rings; Poisson brackets; generators and relations; moduli spaces Levy, P., Isomorphism problems of noncommutative deformations of type \textit{D} Kleinian singularities, Trans. Amer. Math. Soc., 361, 5, 2351-2375, (2009) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) control theorems; Shimura-Taniyama-Weil conjecture; elliptic curve; modular curve; deformation rings; Hecke algebras; modular Galois representations; moduli spaces of elliptic curves; modular forms Hida, H.: Geometric modular forms and elliptic curves. World Scientific, Singapore (2000) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) algebraic geometry; algebraic sets over groups; affine geometry; \(G\)-groups; separation; discrimination; Nullstellensatz; representations; quasivarieties; equationally Noetherian groups; zero-divisors; prime ideals; categories of groups; free groups; free products; coordinate groups G. Baumslag, A. Myasnikov, and V. Remeslennikov, ''Algebraic Geometry Over Groups, I: Algebraic Sets and Ideal Theory,'' J. Algebra 219(1), 16--79 (1999). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) moduli space of curves; noncommutative geometry; Lie algebra cohomology; topological field theory; Batalin-Vilkovisky formalism | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) intersection points; unions of lines; homogeneous coordinate rings; Hilbert function Les Reid and Leslie G. Roberts, Intersection points of seminormal configurations of lines, Algebraic \?-theory, commutative algebra, and algebraic geometry (Santa Margherita Ligure, 1989) Contemp. Math., vol. 126, Amer. Math. Soc., Providence, RI, 1992, pp. 151 -- 163. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) smooth affine irreducible curves; left ideals; rings of global differential operators; Picard groups; first Weyl algebra; Calogero-Moser spaces; irreducible representations; deformed preprojective algebras | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) graded rings and algebras; derivations; quasihomogeneous singularities; isolated complete intersection singularities; graded Gorenstein singularities; quotient singularities; derivations of negative weight | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) stability theory; Zariski topologies over an algebraically closed field; Zariski geometry; dimension; smooth algebraic variety; algebraic curve; ample; finite covers of the projective line Hrushovski E. and Zilber B., Zariski geometries, J. Amer. Math. Soc. 9 (1996), 1-56. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) number of rational curves; enumerative geometry; blow-up of projective plane; quantum cohomology potential function L. Göttsche, R. Pandharipande, The quantum cohomology of blow-ups of \(\mathbb{P}\)2 and enumerative geometry. \textit{J. Differential Geom}. \textbf{48} (1998), 61-90. MR1622601 Zbl 0946.14033 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) finitely generated projective modules; bimodules over PI-rings; Krull dimension; direct sum; Picard groups; central Picard groups; semiprime affine algebra Robert M. Guralnick, Bimodules over PI rings, Methods in module theory (Colorado Springs, CO, 1991) Lecture Notes in Pure and Appl. Math., vol. 140, Dekker, New York, 1993, pp. 117 -- 134. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) covering spaces of projective manifolds; ample line bundle; holomorphic functions of slow growth; Riemann surfaces with corona; generating Hörmander algebras on covering spaces; dichotomy; covering group; harmonic functions; weighted Bergman spaces Finnur Lárusson, Holomorphic functions of slow growth on nested covering spaces of compact manifolds, Canad. J. Math. 52 (2000), no. 5, 982 -- 998. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) graded Clifford algebras; skew Clifford algebras; twists of Clifford algebras; regular algebras; quadric systems; quadratic algebras Nafari, M.; Vancliff, M., Graded skew Clifford algebras that are twists of graded Clifford algebras, Communications in Algebra, 43, 719-725, (2015) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) coordinate rings; irreducible curves; smoothness of varieties; finite length modules; surjectivity | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) semisimple modules; Jacobson radical; central simple algebras; Brauer group; primitive rings; density theorem; representations of finite groups; global dimension; textbook Farb, B.; Dennis, R. K.: ''Noncommutative algebra,'', graduate texts in mathematics. (1993) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) central simple algebras; Brauer groups; semisimple linear algebraic groups; Borel varieties; twisted flag varieties; projective varieties; change of Schur index; function fields; groups of inner type; parabolic subgroups; index reduction formula; Brauer-Severi varieties Merkurjev, A.; Panin, A.; Wadsworth, A., \textit{index reduction formulas for twisted flag varieties II}, J. K-Theory, 14, 101-196, (1998) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) real function fields; real holomorphy ring; valuation rings; formally real residue field; regular projective model; rational point; real prime divisors; signatures of higher level; sums of n-th powers; local-global principle; weak isotropy; quadratic forms; Henselizations Schülting, H. W.: The binary class group of the real holomorphy ring. (1986) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Hilbert scheme; enumerative geometry; parameter space; Chern classes; Bott formula; number of twisted cubic curves; number of elliptic quartic curves; Darboux curves Ellingsrud, G.; Strømme, S., Bott's formula and enumerative geometry, J. Am. Math. Soc., 9, 175-193, (1996) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) moduli of rational curves; Mori dream spaces; toric varieties; weighted projective planes; symbolic Rees algebras; elementary transformations Castravet, Ana-Maria; Tevelev, Jenia, \(\overline{M}_{0, n}\) is not a Mori dream space, Duke Math. J., 164, 8, 1641-1667, (2015) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative geometry; Hochshchild cohomology; Harrison cohomology; representation theory; obstruction theory; formally smooth algebras; finitely unobstructed algebras; moduli of representations A. Ardizzoni, F. Galluzzi and F. Vaccarino, A new family of algebras whose representation schemes are smooth, Ann. Inst. Fourier (Grenoble), 66 (2016), no. 3, 1261--1277. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) groups of automorphisms; categories of graded left modules; Picard groups; exact sequences; inner automorphisms; rings with local units; smash products; convolution algebras Margaret Beattie and Angel del Río, The Picard group of a category of graded modules, Comm. Algebra 24 (1996), no. 14, 4397 -- 4414. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Quadratic Forms; Arithmetical Symbols; Logic; Algebraic Geometry; Elliptic Curves; Algebraic Varieties; Non-standard Real numbers; Local Rings | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative algebraic geometry; ideals of associative rings; matrix polynomials; Nullstellensatz | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Grothendieck-Teichmüller group; moduli spaces of pointed curves; absolute Galois groups; topological/étale fundamental group; hyperplane arrangements; projective geometry | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) determinantal varieties; Cohen-Macaulay rings; approximation complex; ideal of relation; symmetric algebra; projective dimension two Restuccia G.,On the ideal of relations of a symmetric algebra, Rend. Sem. Mat., Univ. Torino,49 2 (1991), 281--298. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Schmuedgen's representation theorem; quadratic forms; sums of squares; Henselization; Witt's Local Global Principle; algebraic curves; archimedian quadratic module; valuation theory; effectivity in semialgebraic geometry | 0 |
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