The associated graded ring and the index of a Gorenstein local ring-Reference-Cited by-同舟云学术

The associated graded ring and the index of a Gorenstein local ring

Published:1994 Issue:4 Volume:120 Page:1029-1033
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ding Songqing

Abstract

Let ( R , m , k ) (R,\mathfrak {m},k) be a Gorenstein local ring. It is shown that if the associated graded ring G ( R ) G(R) of R R is Cohen-Macaulay, then the index of R R is equal to the generalized Loewy length of R R .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1994-120-04/S0002-9939-1994-1181160-1/S0002-9939-1994-1181160-1.pdf

Reference6 articles.

1. M. Auslander, Minimal Cohen-Macaulay approximations (in preparation).

2. Liftings and weak liftings of modules;Auslander, Maurice;J. Algebra,1993

3. Cohen-Macaulay approximation and multiplicity;Ding, Songqing;J. Algebra,1992

4. A note on the index of Cohen-Macaulay local rings;Ding, Songqing;Comm. Algebra,1993

5. On the index of a homogeneous Gorenstein ring;Herzog, Jürgen,1994

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