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Inventiones mathematicae

, Volume 106, Issue 1, pp 335–388 | Cite as

Modules over regular algebras of dimension 3

  • M. Artin
  • J. Tate
  • M. Van den Bergh
Article

Keywords

Regular Algebra 
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References

  1. [AmSm] Amitsur, S.A., Small, L.W.: Prime ideals in P.I. rings. J. Algebra62, 358–383 (1980)Google Scholar
  2. [ArSch] Artin, M., Schelter, W.: Graded algebras of global dimension 3. Adv. Math.66, 171–216 (1987)Google Scholar
  3. [ATV] Artin, M., Tate, J., Van den Bergh, M.: Some algebras associated to automorphisms of elliptic curves. The Grothendieck Festschrift, vol. 1, pp. 33–85, Boston Basel Stuttgart: Birkhäuser 1990Google Scholar
  4. [AV] Artin, M., Van den Bergh, M.: Twisted homogeneous coordinate rings. J. Algebra133, 249–271 (1990)Google Scholar
  5. [Bj] Björk, J.-E.: The Auslander condition on noetherian rings. Séminaire Dubreil-Malliavin 1987–8. Lect. Notes Math., vol. 1404, pp. 137–173, Berlin Heidelberg New York: Springer 1990Google Scholar
  6. [BLR] Bosch, S., Lütkebohmert, W., Raynaud, M.: Néron models. Berlin Heidelberg New York: Springer 1990Google Scholar
  7. [BS] Borevitch, Z.I., Shafarevitch, I.R.: Number theory. New York: Academic Press 1966Google Scholar
  8. [EG] Evans, E.G., Griffith, P.: Syzygies. Lond. Math. Soc. Lect. Note Ser. vol. 106, Cambridge: Cambridge University Press 1986Google Scholar
  9. [KL] Krause, G.R., Lenagan, T.H.: Growth of Algebras and Gelfand-Kirillov Dimension. Res. Notes Math. vol. 116, Boston: Pitman 1985Google Scholar
  10. [NV] Nastacescu, C., Van Oystaeyen, F.: Graded ring theory, p. 16. Amsterdam: North Holland 1982Google Scholar
  11. [OF] Odeskii, A.B., Feigin, B.L.: Sklyanin algebras associated to elliptic curves. (Manuscript)Google Scholar
  12. [Ra] Ramras, R.: Maximal orders over regular rings of dimension 2. Trans. Am. Math. Soc.142, 457–474 (1969)Google Scholar
  13. [Re] Revoy, M.P.: Algèbres de Weyl en charactéristique p. C.R. Acad. Sci. Sér.A276, 225–227 (1973)Google Scholar
  14. [Ro] Rowen, L.: Polynomial identities in ring theory. New York London: Academic Press 1980Google Scholar
  15. [Sn] Snider, R.L.: Noncommutative regular local rings of dimension 3. Proc. Am. Math. Soc.104, 49–50 (1988)Google Scholar
  16. [SSW] Small, L.W., Stafford, J.T., Warfield, R.B.: Affine algebras of Gelfand-Kirillov dimension one are PI. Math. Proc. Camb. Philos. Soc.97, 407–414 (1985)Google Scholar
  17. [Staf] Stafford, J.T.: Noetherian full quotient rings. Proc. Lond. Math. Soc.44, 385–404 (1982)Google Scholar
  18. [Stan] Stanley, R.P.: Generating functions. In: Studies in Combinatorics. MAA Stud. Math., vol. 17, pp. 100–141, Washington: MAA, Inc. 1978Google Scholar
  19. [VdB] Van den Bergh, M.: Regular algebras of dimension 3. Séminaire Dubreil-Malliavin 1986. Lect. Notes Math., vol. 1296, pp. 228–234, Berlin Heidelberg New York: Springer 1987Google Scholar

Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • M. Artin
    • 1
  • J. Tate
    • 2
  • M. Van den Bergh
    • 3
  1. 1.Department of MathematicsMITCambridgeUSA
  2. 2.University of TexasAustinUSA
  3. 3.Universitaire Instelling AntwerpenWilrijkBelgium

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