239
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Gorenstein Dimension and AS-Gorenstein Algebras

Pages 4253-4268 | Received 14 Oct 2011, Published online: 14 May 2014

REFERENCES

  • Artin , M. , Schelter , W. ( 1987 ). Graded algebras of global dimension 3 . Adv. Math. 66 : 171 – 216 .
  • Artin , M. , Zhang , J. J. ( 1994 ). Noncommutative projective schemes . Adv. Math. 109 : 228 – 287 .
  • Auslander , M. ( 1967 ). Anneaux de Gorenstein, et torsion en algèbre commutative. Séminaire d'Algèbre Commutative dirigé par Pierre Samuel, 1966/67, Texte rédigé, d'après des exposés de Maurice Auslander, Marquerite Mangeney, Christian Peskine, Lucien Szpiro. École Normale Supérieure de Jeunes Filles, Secrétariat mathématique, Paris .
  • Auslander , M. , Bridger , M. ( 1969 ). Stable Module Theory, Memoirs of the American Mathematical Society, No. 94 . Providence , R.I. : American Mathematical Society .
  • Christensen , L. W. ( 2000 ). Gorenstein Dimensions, Lecture Notes in Mathematics, Vol. 1747. Berlin: Springer-Verlag .
  • Dong , Z.-C. , Wu , Q.-S. ( 2009 ). Non-commutative Castelnuovo-Mumford regularity and AS-regular algebras . J. Algebra 322 : 122 – 136 .
  • Gelfand , S. I. , Manin , Yu. I. ( 2003 ). Methods of Homological Algebra. , 2nd ed. Berlin : Springer-Verlag .
  • Enochs , E. E. , Jenda , O. M. G. ( 1995 ). Gorenstein injective and projective modules . Math. Z. 220 : 611 – 633 .
  • Enochs , E. E. , Jenda , O. M. G. ( 2000 ). Relative Homological Algebra, De Gruyter Expositions in Mathematics, Vol. 30. Berlin, New York: Walter De Gruyter .
  • Holm , H. ( 2004 ). Gorenstein homological dimensions . J. Pure Appl. Algebra 189 : 167 – 193 .
  • Jøotrgensen , P. ( 1997 ). Local cohomology for non-commutative graded algebras . Comm. Algebra 25 : 575 – 591 .
  • Jøotrgensen , P. (1998). Non-commutative graded homological identities. J. London Math. Soc. (2) 57:336–350.
  • Jøotrgensen , P. ( 1999 ). Gorenstein homomorphisms of non-commutative rings . J. Algebra 211 : 240 – 267 .
  • Jøotrgensen , P. , Zhang , J. J. ( 2000 ). Gourmet's guide to Gorensteinness . Adv. Math. 151 : 313 – 345 .
  • Mori , I. ( 2003 ). Homological properties of balanced Cohen-Macaulay algebras . Trans. Amer. Math. Soc. 355 : 1025 – 1042 .
  • Rogalski , D. , Sierra , S. J. ( 2012 ). Some projective surfaces of GK-dimension 4 . Compos. Math. 148 : 1195 – 1237 .
  • Stephenson , D. R. , Zhang , J. J. ( 1997 ). Growth of graded Noetherian rings . Proc. Amer. Math. Soc. 125 : 1593 – 1605 .
  • Van den Bergh , M. ( 1997 ). Existence theorems for dualizing complexes over non-commutative graded and filtered rings . J. Algebra 195 : 662 – 679 .
  • Wu , Q.-S. , Zhang , J. J. ( 2001 ). Dualizing complexes over noncommutative local rings . J. Algebra 239 : 513 – 548 .
  • Yassemi , S. ( 1995 ). G-dimension . Math. Scand. 77 : 161 – 174 .
  • Yekutieli , A. ( 1992 ). Dualizing complexes over noncommutative graded algebras . J. Algebra 153 : 41 – 84 .
  • Zhang , J. J. ( 1997 ). Connected graded Gorenstein algebras with enough normal elements . J. Algebra 189 : 390 – 405 .
  • Communicated by Q. Wu.

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.