73
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

A Class of Auslander-Regular Macaulay Rings

Pages 6161-6174 | Received 01 Jul 2002, Published online: 01 Feb 2007

References

  • Artin , M. and Schelter , W. 1987 . Graded algebras of global dimension 3 . Adv. Math. , 66 : 171 – 216 .
  • Artin , M. , Tate , J. and Van den Bergh , M. 1990 . “ Some algebras associated to automorphisms of elliptic curves ” . In The Grothendieck Festschrift Vol. 1 , 33 – 85 . Boston : Birkhauser .
  • Artin , M. , Tate , J. and Van den Bergh , M. 1991 . Modules over regular algebras of dimension 3 . Invent. math. , 106 : 335 – 388 .
  • Bell , A. D. 1987 . Localization and ideal theory in noetherian strongly group-graded rings . J. Algebra , 105 : 76 – 115 .
  • Björk , J.-E. 1979 . Rings of Differential Operators Amsterdam – Oxford – New York, , North-Holland
  • Curtis , C. W. and Reiner , I. 1987 . Methods of Representation Theory I, II New York – Chichester – Brisbane : Wiley Classics Library .
  • Levasseur , T. 1992 . Some properties of noncommutative regular graded rings . Glasgow Math. J. , 34 : 277 – 300 .
  • McConnell , J. C. 1968 . Localization in enveloping rings . J. London Math. Soc. , 43 : 421 – 428 . Erratum and addendum: J. London Math. Soc. 1971, 3: 409–410
  • McConnell , J. C. and Robson , J. C. 1987 . Noncommutative Noetherian Rings Chichester – New York – Brisbane : John Wiley & Sons .
  • Rees , D. 1956 . A Theorem of Homological Algebra . Proc. Camb. Philos. Soc. , 52 : 605 – 610 .
  • Rotman , J. J. 1979 . An Introduction to Homological Algebra New York – San Francisco – London : Academic Press .
  • Rump , W. 2001a . Non-commutative Cohen-Macaulay rings . J. Algebra , 236 : 522 – 548 .
  • Rump , W. 2001b . Non-commutative regular rings . J. Algebra , 243 : 385 – 408 .
  • Smith , P. F. 1982 . “ The Artin-Rees property ” . In Sém. d'Algèbre , LNM 924 Edited by: Dubreil , P. and Malliavin , M.-P. 197 – 240 . Springer .
  • Smith , S. P. and Stafford , J. T. 1992 . Regularity of the four dimensional Sklyanin algebra . Compos. Math. , 83 : 259 – 289 .
  • Stenström , B. 1975 . Rings of Quotients New York – Heidelberg – Berlin : Springer .
  • Stephenson , D. R. 1996 . Artin-Schelter regular algebras of global dimension three . J. Algebra , 183 : 55 – 73 .
  • Stephenson , D. R. 1997 . Algebras associated to elliptic curves . Trans. AMS , 349 : 2317 – 2340 .
  • Teo , K. M. 1997 . Homological properties of fully bounded Noetherian rings . J. London Math. Soc. , 55 : 37 – 54 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.