130
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Finiteness of Selfinjective Dimension for Noetherian Algebras

&
Pages 3414-3428 | Received 29 Feb 2012, Published online: 21 Jun 2013

REFERENCES

  • Abe , H. , Hoshino , M. ( 2007 ). Derived equivalences and Gorenstein algebras . J. Pure Appl. Algebra 211 : 55 – 69 .
  • Auslander , M. , Bridger , M. ( 1969 ). Stable Module Theory. Mem. Amer. Math. Soc., Vol. 94. Amer. Math. Soc., Providence, R.I .
  • Bökstedt , M. , Neeman , A. ( 1993 ). Homotopy limits in triangulated categories . Compositio Math. 86 : 209 – 234 .
  • Bourbaki , N. ( 1974 ). Elements of mathematics. Algebra, Part I: Chapters 1–3. Translated from the French. Hermann, Paris; Addison-Wesley Publishing Co., Reading Mass .
  • Chase , S. U. ( 1960 ). Direct products of modules . Trans. Amer. Math. Soc. 97 : 457 – 473 .
  • Christensen , L. W. , Frankild , A. , Holm , H. ( 2006 ). On Gorenstein projective, injective and flat dimensions—a functorial description with applications . J. Algebra 302 : 231 – 279 .
  • Goto , S. , Nishida , K. ( 2002 ). Towards a theory of Bass numbers with application to Gorenstein algebras . Colloquium Math. 91 : 191 – 253 .
  • Hartshorne , R. ( 1966 ). Residues and Duality . Lecture Notes in Math., Vol. 20. Berlin: Springer .
  • Hoshino , M. ( 1991 ). Algebras of finite self-injective dimension . Proc. Amer. Math. Soc. 112 : 619 – 622 .
  • Hoshino , M. , Koga , H. Zaks’ lemma for coherent rings, preprint .
  • Kato , Y. ( 2002 ). On derived equivalent coherent rings . Comm. Algebra 30 : 4437 – 4454 .
  • Matsumura , H. ( 1986 ). Commutative Ring Theory. (M. Reid, Trans.), Cambridge Univ. Press, Cambridge, (original work in Japanese) .
  • Verdier , J. L. ( 1977 ). Catégories dérivées, état 0. In: Cohomologie étale, Lecture Notes in Math., Vol. 569. Berlin: Springer, pp. 262–311 .
  • Zaks , A. ( 1969 ). Injective dimension of semi-primary rings . J. Algebra 13 : 73 – 86 .
  • Communicated by S. Goto.

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.