Noncommutative graded domains with quadratic growth

Springer Science and Business Media LLC - Tập 122 Số 1 - Trang 231-276 - 1995
Michael Artin1, J. T. Stafford2
1Dept. of Mathematics, MIT Cambridge, USA
2Department of Mathematics, University of Michigan, Ann Arbor, USA

Tóm tắt

Từ khóa


Tài liệu tham khảo

[ATV] M. Artin, J. Tate, M. Van den Bergh: Some algebras associated to automorphisms of curves. In: The Grothendieck Festschrift P. Cartier et al. (eds.), Birkhäuser: Basel, 1990.

[AV] M. Artin, M. Van den Bergh: Twisted homogeneous coordinate rings. J. Algebra133, 249?271 (1990).

[AZ] M. Artin, J.J. Zhang: Noncommutative projective schemes. Adv. in Math.109, 228?287 (1994).

[Be] G.M. Bergman: A note on growth functions of algebras and semigroups, mimeographed notes, University of California, Berkeley, 1978

[Bo] N. Bourbaki: Éléments de Mathématique, Algèbre Commutative. Hermann: Paris 1961

[Co] P.M. Cohn: Algebra II. Wiley: Chichester, 1977

[GW] K.R. Goodearl, R.B. Warfield, Jr.: An Introduction to Noncommutative Noetherian Rings, London Math. Soc. Student Texts No. 16, CUP: Cambridge 1989

[Ha] R. Hartshorne: Algebraic Geometry. Springer: Berlin/New York (1977)

[IS] R.S. Irving, L.W. Small: The Goldie conditions for algebras with bounded growth. Bull. London Math. Soc.15, 596?600 (1983)

[KL] G. Krause, T.H. Lenagan: Growth of Algebras and Gelfand-Kirillov Dimension. Pitman: London, 1985

[LVV] L. Le Bruyn, M. Van den Bergh, F. Van Oystaeyen: Graded orders. Birkhäuser: Boston, 1988

[MR] J.C. Mcconnell, J.C. Robson: Noncommutative Noetherian Rings. Wiley-Interscience: Chichester, 1987

[ML] L. Makar-Limanov: The skew field of fractions of the Weyl algebra contains a free subalgebra. Comm. in Algebra11, 2003?2006 (1983)

[Mu] D. Mumford: The Red Book on Varieties and Schemes. (Lecture Notes in Math. No. 1358). Springer-Verlag: Berlin/New York, 1988

[NV] C. Nâstâsescu, F. Van Oystaeyen: Graded Ring Theory. North Holland: Amsterdam, 1982

[Se] J.-P. Serre: Faisceaux Algébriques Cohérents. Ann. Math.61, 197?278 (1955)

[SW] L.W. Small, R.B. Warfield: Jr: Prime affine algebras of Gelfand-Kirillov dimension one. J. Algebra91, 386?389 (1984)

[SSz] S.P. Smith, J.M. Staniszkis: Irreducible representations of the 4-dimensional Sklyanin algebra at points of infinite order. J. Algebra160, 57?86 (1993)

[St] S.P. Smith, J. Tate: The center of the three and four dimensional Sklyanin algebras. K-Theory8, 19?64 (1994)

[St] J.T. Stafford: On the ideals of a Noetherian ring. Trans. Amer. Math. Soc.289, 381?392 (1985)

[SZ] J.T. Stafford and J.J. Zhang: Examples in noncommutative projective geometry. Math. Proc. Camb. Phil. Soc.116, 415?433 (1994)

[Ve] A.B. Verevkin: On a noncommutative analogue of the category of coherent sheaves on a projective variety. Amer. Math. Soc. Transl.151, 41?53 (1992)