Advanced search
Publication Cover
Communications in Algebra Volume 30, 2002 - Issue 4
Submit an article Journal homepage
81
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

GORENSTEIN MODULES, FINITE INDEX, AND FINITE COHEN–MACAULAY TYPE

Graham J. Leuschke Department of Mathematics, University of Kansas, Lawrence, KS, 66045, U.S.A.
Pages 2023-2035 | Received 01 Oct 2000, Published online: 01 Sep 2006

REFERENCES

  • Bruns , W. and Herzog , J. 1993 . Cohen--Macaulay rings Vol. 39 , Cambridge : Cambridge University Press . Cambridge Stud. in Adv. Math.
  • Ding , S. 1993 . A note on the index of Cohen--Macaulay local rings . J. Algebra , 21 ( 1 ) : 53 – 71 .
  • Evans , E.G. and Griffith , Ph. 1985 . Syzygies Vol. 106 , Cambridge : Cambridge University Press . London Math. Soc. Lect. Notes Ser.
  • Fossum , R. , Foxby , H.-B. , Griffith , Ph. and Reiten , I. 1976 . Minimal injective resolutions with applications to dualizing modules and Gorenstein modules . Inst. Haute Études Sci. Publ. Math. , 45 : 193 – 215 .
  • Foxby , H.-B. 1971 . On the μ; i in a minimal injective resolution . Math. Scand. , 29 : 175 – 186 .
  • Foxby , H.-B. 1972 . Gorenstein modules and related modules . Math. Scand. , 31 : 267 – 284 .
  • Greco , S. and Marinari , M. 1978 . Nagata's criterion and openness of loci for Gorenstein and complete intersection . Math. Z. , 160 : 207 – 216 .
  • Guralnick , R. 1975 . Lifting homomorphisms of modules . Ill. J. Math. , 29 ( 1 ) : 153 – 156 .
  • Leuschke , G. and Wiegand , R. 2000 . Ascent of finite Cohen-Macaulay type . J. Algebra , 228 ( 2 ) : 674 – 681 .
  • Matsumura , H. 1986 . Commutative Ring Theory Vol. 8 , Cambridge : Cambridge University Press . Cambridge Studies in Advanced Math.
  • Nishimura , J.-I. A few examples of local rings, I. Preprint
  • Rotthaus , C. , Weston , D. and Wiegand , R. 1999 . Indecomposable Gorenstein modules of odd rank . J. Algebra , 214 : 122 – 127 .
  • Sharp , R.Y. 1969 . The Cousin complex for a module over a commutative noetherian ring . Math. Z. , 112 : 340 – 356 .
  • Sharp , R.Y. 1970 . Gorenstein modules . Math. Z. , 115 : 117 – 139 .
  • Sharp , R.Y. 1972 . Finitely generated modules of finite injective dimension over certain Cohen-Macaulay rings . Proc. Lond. Math. Soc. , 3 : 303 – 328 .
  • Sharp , R.Y. 1977 . Acceptable rings and homomorphic images of Gorenstein rings . J. Algebra , 44 : 246 – 261 .
  • Weston , D. 1988 . On descent in dimension two and non-split Gorenstein modules . J. Algebra , 118 : 263 – 275 .

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.