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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) regular algebras; quadratic algebras; projective geometry; quadrics; commutation relations; graded Clifford algebras; two-parameter deformations; defining relations; point modules; iterated Ore extensions; line modules Vancliff, M.; Van Rompay, K.; Willaert, L., Some quantum \({\mathbf P}^3\)s with finitely many points, Comm. Algebra, 26, 4, 1193-1208, (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) alternative algebra; quadratic algebra; composition algebras; algebraic curves of genus zero; locally ringed spaces; Cayley-Dickson doubling process; Zorn's vector matrices; octonion algebras; Zorn algebras; function fields of genus zero; polynomial rings Petersson, H.: Composition algebras over algebraic curves of genus 0. Trans. Am. Math. Soc. 337, 473--491 (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) homogeneous pieces of graded cohomology; graded generalized cohomology; finiteness for local cohomology; projective dimension N. Zamani, On the homogeneous pieces of graded generalized local cohomology modules, Colloq. Math., 97(2)(2003), 181--188. | 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) direct-sum cancellation; torsionfree modules over one-dimensional Noetherian rings; coordinate rings of curves Wiegand, R.: Direct sum cancellation over Noetherian rings. Abelian Groups and Modules (Proc. Udine Conference, 1984), CISM Courses and Lectures287. Berlin-Heidelberg-New York: Springer 1984 | 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) coherent rings; graded algebras; noncommutative schemes; Gorenstein algebras; categories of coherent modules; coherent sheaves D. Piontkovski, Coherent algebras and noncommutative projective lines. J. Algebra 319 (2008), 3280-3290. | 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) direct sum cancellation; quadratic order; Noetherian ring; torsionfree cancellation; regular integral domain; coordinate ring of a singular affine curve; quadratic orders; integral group rings DOI: 10.1016/0021-8693(84)90077-2 | 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 generalizations of polynomial algebras; coordinate algebras; noncommutative differential geometry; noncommutative algebraic geometry Dubois-Violette, M.: Noncommutative coordinate algebras. In: Blanchard, E. (ed.) Quanta of Maths, dédié à à A. Connes. In: Clay Mathematics Proceedings, pp. 171--199. Clay Mathematics Institute (2010) | 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; global dimension; projective surfaces; noncommutative surfaces; AS-Gorenstein algebras D. Rogalski and S.J. Sierra, Some noncommutative projective surfaces of GK-dimension 4, Compos. Math. \textbf{148} (2012), 1195-1237. | 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) Brauer groups; \(n\)-Brauer dimension; \(\mathbb Z/n\)-cyclic classes; \(\mathbb Z/n\)-lengths; connected regular projective relative curves; divisors; hot points; finitely-generated extensions of transcendence degree \(1\); Brauer equivalence classes of cyclic algebras; central division algebras E. Brussel and E. Tengan, Division algebras of prime period \( \ell \neq p\) over function fields of \( p\)-adic curves, Israel J. Math. (to appear). | 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) connected graded Noetherian algebras; Ore sets; schemes; non-commutative geometry; schematic algebras; Rees rings; quantum Weyl algebras; Sklyanin algebras Van Oystaeyen, F., Willaert, L.: Examples and quantum sections of schematic algebras. J. Pure Appl. Algebra 2(120), 195--211 (1997) | 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 finite dimensional modules; hereditary categories of coherent sheaves; canonical algebras; path-algebras; quivers; tame concealed algebras; extended Dynkin diagrams; tubular algebras; wild quivers; Auslander-Reiten quivers; separating families; orthogonal standard tubes; preprojective components; indecomposable projectives; Auslander-Reiten components; quasitilted algebras; weighted projective lines; tilting vector bundles; minimal projective generators; right perpendicular categories; endomorphism rings; categories of finite length sheaves; relative Auslander-Reiten translations; wild tilted algebras; dimension vectors Lenzing, H.; de la Peña, J. A., Wild canonical algebras, Math. Z., 224, 403-425, (1997) | 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) almost versal families of modules; finite representation type; finite dimensional algebras; Cohen-Macaulay rings of Krull dimension 1; non-commutative Cohen-Macaulay algebras; projective varieties; tame algebras; curve singularities Drozd, Yu. and Greuel, G.-M.: Semi-continuity for Cohen--Macaulay modules, Math. Ann. 306 (1996), 371--389. | 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) Nagao's theorem; graphs of groups; coordinate rings; smooth projective curves Mason, AW, Serre's generalization of nagao's theorem: an elementary approach, Trans. Am. Math. Soc., 353, 749-767, (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) quadratic algebras; Hopf algebras; cohomology of flag manifolds; twisted group algebras; graded algebras; tensor products Fomin, S; Procesi, C, Fibered quadratic Hopf algebras related to Schubert calculus, J. Algebra, 230, 174-183, (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) twisted homogeneous coordinate rings; Poisson manifolds; flat deformations; polynomial algebras; group algebras; Poisson brackets; primitive ideals; deformed algebras; symplectic leaves; prime spectra; quantized function algebras; coordinate rings; quantum \(2\times 2\) matrices Vancliff, M, Primitive and Poisson spectra of twists of polynomial rings, Algebr Represent Theory, 3, 269-285, (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) affine schemes; categories of quasicoherent sheaves; Serre's theorem; noncommutative localizations; structure sheaves; schematic algebras; noncommutative algebraic geometry; graded algebras; Ore sets; quantum groups; braided categories F. van Oystaeyen. \textit{Algebraic geometry for associative algebras}. Series ''Lect. Notes in Pure and Appl. Mathem.'' \textbf{232} (Marcel Dekker: New York, 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) defining equations; elliptic curve; 3-dimensional Sklyanin algebra; quadratic algebra; twisted homogeneous coordinate ring; elements of degree \(p\); cyclicity Le Bruyn, L.: The arithmetic of Sklyanin algebras I: the defining equations,Comm. Algebra (to appear). | 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 series filtration; formal geometry; non-affine variety; NC-thickening; NC-connections; bundle of coordinate systems; Gelfand-Kazhdan structure; de Rham space; noncommutative formal geometry; noncommutative disk | 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) Weyl algebras; graded module categories; graded principal ideal domains; quotient stacks; quasi-coherent sheaves; rings of differential operators; affine group schemes; coordinate rings Smith, S. Paul, A quotient stack related to the Weyl algebra, J. Algebra, 345, 1, 1-48, (2011) | 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 algebras; semisimple groups; representation rings; twisted flag varieties; \(G\)-equivariant motives; projective homogeneous variety; absolute Galois group; Severi-Brauer varieties; quadric hypersurfaces Panin, I. A., On the algebraic \(K\)-theory of twisted flag varieties, \(K\)-Theory, 8, 6, 541-585, (1994) | 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) curves; one-dimensional Cohen-Macaulay rings; associated graded ring; dimension; multiplicity; index of regularity; Hilbert-Samuel function Juan Elias, The regularity index and the depth of the tangent cone of curve singularities, Japan. J. Math. (N.S.) 22 (1996), no. 1, 51 -- 68. | 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 principal bundle; quantum space; quantum homogeneous projective variety; quantized coordinate ring; sheaf of comodule 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) birational geometry; Gopakumar-Vafa invariants; braiding of flop functors; 3-fold flops; crepant resolution; 3-fold projective crepant resolution; sheaf of noncommutative rings; contraction; sheafy contraction algebra; noncommutative enhencement; autoequivalences; noncommutative birational geometry; Cohen-Macaulay property | 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 algebras; helices; projective spaces; Fano varieties; deformations; automorphisms of two-dimensional cubic curves A. I. Bondal and A. E. Polishchuk, Homological properties of associative algebras: the method of helices, Izv. Ross. Akad. Nauk Ser. Mat. 57 (1993), no. 2, 3 -- 50 (Russian, with Russian summary); English transl., Russian Acad. Sci. Izv. Math. 42 (1994), no. 2, 219 -- 260. | 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-Schelter regular; enveloping algebra; graded Lie algebra; Gröbner basis; Hilbert series; Noetherian graded ring; noncommutative 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) homogeneous coordinate rings of matrix algebras over an elliptic curve; sheaf of local endomorphisms | 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) division algebras; injective dimension; homological transcendence degree; global dimension; Gelfand-Kirillov dimension; Artin-Schelter regular rings A. Yekutieli and J. J. Zhang, Homological transcendence degree, Proceedings of the London Mathematical Society 93 (2006), 105--137. | 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 projective geometry; commutative connected graded Noetherian algebra; projective variety; projective algebraic geometry; non-commutative algebras; coherent sheaves J. T. Stafford and J. J. Zhang, ''Examples in non-commutative projective geometry,'' Math. Proc. Cambridge Philos. Soc., 116, No. 3, 415--433 (1994). | 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; numerical invariants of fields; level of a field; non-formally real fields; anisotropic quadratic form; formally real fields; \(u\)-invariants; Pythagoras number; existence of \(K\)-rational points for systems of forms; homogeneous Nullstellensatz for \(p\)-fields; Borsuk-Ulam Theorem; spheres; Tsen-Lang theory of \(C_ i\)-fields; computation of the levels of projective spaces; Witt rings A. Pfister, \textit{Quadratic forms with applications to algebraic geometry and topology}. London Mathematical Society Lecture Note Series, \textbf{217}. Cambridge University Press, Cambridge, 1995. zbl 0847.11014; MR1366652 | 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) holomorphic functions of several variables; algebraic geometry; complex semisimple Lie groups; abstract harmonic analysis; local rings and varieties; nullstellensatz; dimension; homological algebra; sheaf cohomology; coherent algebraic sheaves; coherent analytic sheaves; Stein spaces; Fréchet sheaves; Cartan's theorem; projective varieties; Serre's theorems; Dolbeault cohomology; chains of syzygies; Cartan's factorization; amalgamation of syzygies; algebraic groups; Borel-Weil-Bott theorem; equivariant line bundles; flag variety; Casimir operator J. L. Taylor, \textit{Several Complex Variables with Connections to Algebraic Geometry and Lie groups}, Graduate Studies in Mathematics, \textbf{46}, AMS, Providence, RI, 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) noncommutative spaces; injective spectra; Noetherian rings; dimension functions; reduced spaces; weak points; categories of sheaves Pappacena, C. J.: The injective spectrum of a noncommutative space. J. algebra 250, 559-602 (2002) | 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) tight closure; slopes of bundles; vanishing theorems; standard graded rings; projective bundles; locally free sheaves on smooth projective curves H. Brenner, ''Slopes of vector bundles on projective curves and applications to tight closure problems,'' Trans. Amer. Math. Soc., vol. 356, iss. 1, pp. 371-392, 2004. | 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; conics; elliptic curves; projective geometry; polynomial rings; Bezout's theorem; intersection multiplicity; linear systems; inflection points; abelian varieties; local rings; Newton polygons; Puiseux expansion; Cremona transformation; singular points; resolution of singularities; Pücker formulas; differential forms; Riemann surfaces Brieskorn, Egbert and Knörrer, Horst, Plane algebraic curves, Modern Birkhäuser Classics, x+721, (1986), Birkhäuser/Springer Basel AG, Basel | 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) Cohen-Macaulay modules; Sklyanin algebra; graded module; Hilbert series; Gelfand-Kirillov dimension Levasseur, Thierry; Smith, S. Paul, Modules over the \(4\)-dimensional Sklyanin algebra, Bull. Soc. Math. France, 121, 1, 35-90, (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) graded rings; noncommutative geometry D. Rogalski and J. J. Zhang, Canonical maps to twisted rings, Mathematische Zeitschrift 259 (2008), 433--455. | 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) polynomial ring; monomials; Veronese subrings; regularity of ideal; Gröbner basis; homogeneous Koszul algebras Fröberg, R.: Koszul algebras. In: Advances in commutative ring theory (Fez, 1997) Lecture Notes in Pure and Appl. Math., vol. 205, pp. 337-350. Dekker, New York (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) connected reductive algebraic groups; finitely generated commutative algebras; Noetherian modules; good filtrations; good filtration dimension; cohomology groups; cohomology rings W. van der Kallen, Finite good filtration dimension for modules over an algebra with good filtration, J. Pure Appl. Algebra 206 (2006), 59--65. | 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) instructional exposition; textbooks; group theory; field theory and polynomials; commutative rings and algebras; noncommutative rings; algebraic geometry; homological algebra Ash, R. B., Basic abstract algebra. for graduate students and advanced undergraduates, (2007), Dover Publications, Inc. Mineola, NY | 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) bibliography; Hilbert's basis theorem; dictionary: commutative algebra-projective algebraic geometry; Hilbert's syzygy theorem; Hilbert's Nullstellensatz; Hilbert polynomials; dimension theory; Dedekind domains; Hilbert-Samuel functions; elimination theory; computer algebra; modules of differentials; homological methods; Koszul complex; Cohen-Macaulay property; duality theory; linkage Eisenbud D, \textit{Commutative Algebra: With a View Toward Algebraic Geometry}, 150, Springer New York, 1995. | 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) nonnoetherian rings; foundations of algebraic geometry; noncommutative algebraic geometry Beil, C., Nonnoetherian geometry, \textit{J. Algebra Appl.}, 15, (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) twisted curves; logarithmic geometry; moduli of stable maps Olsson, M. C., \textit{(log) twisted curves}, Compos. Math., 143, 476-494, (2007) | 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) Differential graded Lie-algebras; functors of Artin 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) moduli space of curves; \(A_{\infty }\)-algebra; deformation theory; noncommutative geometry; Maurer-Cartan set A. Hamilton, Classes on compactifications of the moduli space of curves through solutions to the quantum master equation. Lett. Math. Phys. 89 (2009), 115-130. | 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 algorithm; generalised Jacobian varieties; algebras of finite type over a field; Euclidean domains; Diophantine geometry; integral points on curves Brown, M.L., Euclidean rings of affine curves, Math. Z., 208, 3, 467-488, (1991) | 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 (algebraic geometry); algebraic curves; projective varieties; abelian categories; schemes; cohomology of schemes; intersection theory; duality theory | 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) Kronecker modules; endomorphism algebras; cubic curves; plane curves; coordinate rings Okoh, F.; Zorzitto, F. A.: Curves arising from Kronecker modules. Linear algebra appl. 365, 311-348 (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) Hochschild homology; higher algebraic K-theory of seminormal curves; graded algebras; cyclic homology Geller, S.; Reid, L.; Weibel, C., The cyclic homology and \(K\)-theory of curves, J.~Reine Angew. Math., 393, 39-90, (1989) | 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) reductive groups; finitely generated algebras; rings of invariants; cohomology rings; Grosshans graded rings W. van der Kallen, \textit{Cohomology with Grosshans graded coefficients}, in: \textit{Invariant Theory in All Characteristics}, H. E. A. E. Campbell, D. L. Wehlau eds., CRM Proceedings and Lecture Notes, Vol. 35 (2004), Amer. Math. Soc., Providence, RI, 2004, pp. 127-138. | 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; noncommutative motives | 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 division algebras; cyclic algebras; ramification; curve points; nodal points; Brauer groups; curves over local fields; \(p\)-adic curves; field extensions; algebraic function fields; curves over rings of integers of \(p\)-adic fields D. J. Saltman, ''Cyclic algebras over \(p\)-adic curves,'' J. Algebra, vol. 314, iss. 2, pp. 817-843, 2007. | 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; Abelian \(\mathbb{Q}\)-curves Hida, H.: Geometric Modular Forms and Elliptic Curves, 2nd edn. World Scientific, Singapore (2012) | 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 isolated singularity; pertinency; group action; Auslander theorem; Gelfand-Kirillov 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) differential graded Lie algebras; DGLA; symmetric coalgebras; \(L_\infty\)-algebras; functors of Artin rings; Kähler manifolds; period map; Cartan homotopies Fiorenza, D; Manetti, M, A period map for generalized deformations, J. Noncommut. Geom., 3, 579-597, (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) third order curves; plane curves; homogeneous functions; projectivity; involution; projective properties of conics; pencil of conics; polar properties; Steiner system; Hesse' curve; pencil of third order curves; Cayley' curve; cubic involution; Steiner's polygon; elliptic functions | 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) Galois representation; anabelian geometry; braid group; pro-\(l\) fundamental groups; groups of graded automorphisms; graded Lie algebras DOI: 10.1090/S0002-9947-98-02038-8 | 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 (textbook); commutative algebra (textbook); finitely generated algebras; schemes; projective schemes; local rings; Kähler differentials; sheaves; algebraic curve Patil, D.P., Storch, U.: Introduction to algebraic geometry and commutative algebra, IISc Lecture Notes Series, vol. 1. World Scientific Publishing Co., Pte. Ltd., Bangalore. IISc Press, Hackensack, NJ (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) algebraic surfaces; non-complete algebraic surfaces; affine surfaces; projective surfaces; Enriques-Kodaira classification of surfaces; Kodaira dimension; birational geometry; logarithmic Kodaira dimension Miyanishi, M.: Open Algebraic Surfaces. Amer. Math. Soc. \textbf{12}. CRM Monograph Series, Providence (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) \(\mathbb A^1\)-homotopy; algebraic \(K\)-theory; Witt vectors; sheaf of dg algebras; dg orbit category; cluster category; du val singularities; noncommutative algebraic geometry Tabuada, Gonçalo, \(\mathbb{A}^1\)-homotopy invariance of algebraic \(K\)-theory with coefficients and du Val singularities, Ann. K-Theory, 2, 1, 1-25, (2017) | 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) valuation theory; valuation rings; polynomial rings; power series rings; Stellenring; local rings; foundations of algebraic geometry; graded rings; affine rings O. Zariski and P. Samuel, \textit{Commutative Algebra}, Vol. 2, University Series in Higher Mathematics, Van Nostrand, Princeton, NJ-Toronto, ON-London-New York, 1960. | 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) Goldie condition; Gelfand-Kirillov dimensions; rational actions; linear algebraic groups; induced actions; spectrum of rational ideals; primitive ideals; orbits; semiprime ideals N. Vonessen, Actions of algebraic groups on the spectrum of rational ideals, II, J. Algebra 208 (1998), no. 1, 216--261. | 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; noncommutative deformation of scheme; noncommutative schemes; operator algebras; crossed products; category of quasi-coherent sheaves | 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) Kronecker's Jugendtraum; elliptic functions; elliptic integrals; arithmetic of elliptic curves; Weierstrass \(\wp\)-function; projective plane cubics; Abel's theorem; inversion problem; Jacobi functions; theta functions; Lefschetz theorem; embeddings; theta identities; Euler identities; Jacobi substitutions; quadratic reciprocity; Siegel modular group; modular forms; Eisenstein series; modular equation; arithmetic subgroups; arithmetic applications; solvability of algebraic equations; Galois theory; Klein's icosaeder; quintic equation; imaginary quadratic number fields; class invariants; class polynomial; Mordell-Weil theorem Henry McKean and Victor Moll, \textit{Elliptic Curves}, Cambridge University Press, Cambridge, 1997. | 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) infinitesimally faithful representations; reductive complex connected algebraic groups; Lie algebras; representation spaces; fields of rational functions; Cayley transforms; coordinate rings; regular orbits; varieties of unipotent elements Kostant, B.; Michor, P.; Christian, Duval, The generalized Cayley map from an algebraic group to its Lie algebra, \textit{Prog. Math.}, 213, 259-296, (2003), Birkhäuser, Boston, MA | 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 | 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) \(A\)-algebraic sets; classical algebraic geometry; formal concept analysis; polynomial context; free algebra; formal context; congruence relations; radical congruences; ring of polynomials; algebraically closed field; algebraic varieties; reduced ideals; functorial correspondence; coordinate algebras; dual equivalence; category | 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; rings of differential operators; Ore localizations; Ore sets; quantum differential operators; quantum affine spaces; quantum enveloping algebras; Bernstein theorem; holonomic modules V.A. Lunts and A.L. Rosenberg, Differential operators on noncommutative rings, Selecta Math. (N.S.), 3 (1997), 335--359. | 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) Kac polynomials; dimension of graded vector spaces; representations of Kac-Moody algebras; graded Borcherds algebras; character of infinite dimensional graded Lie algebra | 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) generic matrices; universal division algebras; central polynomials; PI-degrees; group actions; geometric actions; invariants; concomitants; Gelfand-Kirillov dimension Reichstein Z., Adv. Appl. Math. 37 pp 481-- (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) Cox rings; moduli spaces of curves; Mori dream spaces; weighted projective planes González, José Luis; Karu, Kalle, Some non-finitely generated Cox rings, Compos. Math., 152, 5, 984-996, (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) Auslander-Reiten components; finite-dimensional modules; endomorphism rings; tilting bundles; tilting sheaves; weighted projective lines; almost concealed-canonical algebras; quasi-tilted algebras; derived categories; coherent sheaves; indecomposable modules; Auslander-Reiten translation; tubes; separating families; categories of vector bundles; concealed wild algebras; preinjective components Meltzer H.: Auslander-Reiten components of concealed-canonical algebras. Colloq. Math. 71, 183--202 (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) coordinate ring of a normal affine surface; finitely generated graded normal ring; divisor on a Riemann surface; degrees of homogeneous generators; relations Van Dyke, F., Generators and relations for finitely generated graded normal rings of dimension two, Illinois J. Math., 32 (1988), 115-150. | 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) Birch-Swinnerton-Dyer conjecture; twisted elliptic curves; discriminant of a quadratic field | 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) blowing-up; graded Betti numbers; fat points; projective embeddings; resolution of the coordinate ring; embedded rational surface Geramita, A. V.; Gimigliano, A.; Pitteloud, Y., Graded Betti numbers of some embedded rational \textit{n}-folds, Math. Ann., 301, 363-380, (1995) | 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) modular function \(j(\tau)\); singular moduli; prime factorization of the absolute norm; modular polynomial; arithmetic of maximal orders in quaternion algebras; geometry of supersingular elliptic curves; Fourier coefficients; Eisenstein series; Hilbert modular group; local heights; Heegner points Gross, B. H.; Zagier, D. B., \textit{on singular moduli}, J. Reine Angew. Math., 355, 191-220, (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) normal surface singularities; rational singularities; elliptic singularities; \( \mathbb{Q} \)-homology spheres; geometric genus; link of singularities; divisorial filtration; Poincaré series; Seiberg-Witten invariants of 3-manifolds; Casson invariant conjecture; Seiberg-Witten invariant conjecture; Heegaard-Floer homology; graded roots; surgery 3-manifolds; unicuspidal rational projective plane 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) representations of central extension; conformal field theory; stable curves; gauge symmetries; integrable representations of Lie algebras; sheaf of twisted first order differential operators; monodromy; mapping class 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) actions of groups; linear algebra; topological groups; endomorphisms; Grassmannians; echelon matrices; groups preserving a bilinear form; quaternion fields; algebraic combinatorics; Lie groups; Platonic solids; topics from the projective plane; orthogonal groups; unitary groups; symplectic groups; Young tableaux; algebraic geometry; algebraic curves; surfaces configurations; special varieties; graphes; projective line; conics; representation theory; McKay correspondance Ph. Caldero, J. Germoni, \textit{Histoires Hédonistes de Groupes et de Géométries [Hedonistic Histories of Groups and Geometries].} Vol. 2, Calvage et Mounet, Paris, 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) zero-dimensional schemes; linear system of plane curves; free resolution of the ideal sheaves; homogeneous ideals; graded Betti numbers | 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) bimodule matrix problems; path algebras; quasi-hereditary algebras; Koszul algebras; projective dimension; categories of matrices Hille L, Vossieck D. The quasi-hereditary algebra associated with the radical bimodule over a hereditary algebra. Coll Math, 98: 201--211 (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) algebraic curves and algebraic surfaces; resolution of singularities; local rings; valuation theory; Cohen-Macaulay rings; differential modules; analytic algebras Kiyek, K.; Vicente, J. L., Resolution of curve and surface singularities in characteristic zero, (2004), Kluwer Dordrecht | 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 types of algebras; derived categories; tame-wild dichotomy; matrix problems; nodal rings; projective configurations; vector bundles; categories of modules; categories of coherent sheaves; bounded 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) rational surfaces; embeddings the blown up surface in some projective space; dimension of linear systems of plane curves; superabundant very ample divisors [GGH] A. V. Geramita, A. Gimigliano and B. Harbourne,Projectively normal but superabundant embedding of rational surfaces in projective space, J. Algebra169 (1994), 791--804 | 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) Brauer-Severi schemes; matrix invariants; moduli spaces of representations of quivers; fibers; orders in central simple algebras; projective fiber bundles; trace rings of generic matrices L. Le Bruyn and G. Seelinger, Fibers of generic Brauer--Severi schemes, J. Algebra, 214 (1999), 222--234.Zbl 0932.16025 MR 1684876 and Applied Mathematics, 290, Chapman and Hall, 2008.Zbl 1131.14006 MR 2356702 | 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 of formal fibres; completions of local rings; excellent rings; noetherian local ring; dimension of the formal fibres Hideyuki Matsumura, On the dimension of formal fibres of a local ring, Algebraic geometry and commutative algebra, Vol. I, Kinokuniya, Tokyo, 1988, pp. 261 -- 266. | 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) birational morphism; algebroid curves; resolution of singularities; Arf closure; Arf subrings of a discrete valuation ring; associated graded rings; ascending chain condition Campillo, A. and Castellanos, J.: ''Arf Closure relative to a divisorial valuation and trasversal curves''. Preprint 1991 | 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; Sklyanin algebras; noncommutative minimal models | 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) fundamental theorem of projective geometry; projective line over primitive rings B. R. McDonald, ''Projectivities over rings with many units,'' Commun. Algebra,9, No. 2, 195--204 (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) finitely generated graded rings of dimension 2; divisor on a Riemann surface | 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 of global dimension 3; non-commutative affine scheme; point modules; twisting a graded algebra M. Artin, J. Tate, M. Van den Bergh, Modules over regular algebras of dimension \(\(3\)\). Invent. Math. 106(2), 335-388 (1991) | 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) Hasse-Minkowski problem; projective quadric; quadratic form; \(p\)-adic valuations; exact sequence of Witt rings; Hasse principle Hatt-Arnold, D.: Le problème de Hasse-Minkowski pour les quadriques définies surC((X, Y)), Thèse 2181. Genéve: 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) Gelfand-Kirillov dimension; quantum Schubert cell algebras; Kac-Moody algebras Fryer, S., Yakimov, M.: Separating ore sets for prime ideals of quantum algebras. To appear in Bull. Lond. Math. Soc. | 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) universal algebraic geometry; systems of equations; radicals; Zariski topology; Heyting algebras; equationally Noetherian algebras; \(q_\omega \)-compact 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) affine varieties; curves; projective; varieties; textbooks in algebraic geometry; local properties of 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) Artin-Rees property; geometrically realizable ring; local cohomology; noncommutative scheme; left and right noetherian ring; prime ideals; structure presheaf; idempotent kernel functor; compatible rings; Azumaya algebras; closure operators; spectral sequences; local cohomology groups A. Verschoren, ''Local cohomology of noncommutative rings: a geometric interpretation,''Lect. Notes Math.,1328, 316--331 (1988). | 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) primitive ideals; quantum matrices; quantised enveloping algebras; Cauchon diagrams; perfect matchings; Pfaffians; rational torus actions; Gelfand-Kirillov dimension; prime ideals Bell, J., Launois, S., Nguyen, N.: Dimension and enumeration of primitive ideals in quantum algebras. J. Algebr. Comb. 29(3), 269--294 (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) computer graphics; homogeneous coordinates; Plücker coordinates; principle of duality; line and plane intersections computation; projective geometry Skala, M. A.: Aspects of metric spaces in computation | 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) indecomposable division algebras; noncrossed product division algebras; patching over fields; smooth projective curves; completions of function fields; Brauer groups Chen, F.: Indecomposable and noncrossed product division algebras over curves over complete discrete valuation rings, (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) semiregularity map; obstruction theory; functors of Artin rings; differential graded Lie algebras; DGLAs; Kodaira principle; curvilinear deformations; curvilinear obstructions | 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) enumerative geometry of curves; moduli stacks of curves; twisted curves Chiodo, Alessandro, Towards an enumerative geometry of the moduli space of twisted curves and \(r\)th roots, Compos. Math., 144, 6, 1461-1496, (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) algebraic geometry; arithmetic geometry; fundamental groups; moduli space of hyperelliptic curves; hyperelliptic curves; hyperelliptic mapping class groups; Lie algebras; unipotent completions | 0 |
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