A Bass Formula for Gorenstein Injective Dimension Page 1 Communications in Algebra®, 35:
1882–1889, 2007 Copyright © Taylor & Francis Group, LLC ISSN: 0092-7872 print/1532-4125 …

Reiten has demonstrated that the trivial Hochschild extension of a Cohen-Macaulay local
ring by a canonical module is a Gorenstein local ring. Here it is proved that any commutative …

The notion of a canonical module of a (noetherian) local ring is due to Grothendieck, who
called it a module of dualizing differentials (cf.[5, p. 94]). The term" a canonical module" was …

Let (R, $\mathfrak {m} $, k) be a Gorenstein local ring with associated graded ring $ G (R) $.
It is conjectured that for any integer $ n> 0$, Auslander's $\delta $-invariant $\delta …

This paper investigates the relation between the almost Gorenstein properties for graded
rings and for local rings. Once R is an almost Gorenstein graded ring, the localization RM of …

Ideals Defining Gorenstein Rings Are (Almost) Never Products Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 135, Number 7, July 2007, Pages 2003-2005 …

We present results on reflexive modules over Gorenstein rings which generalize results of
Serre and Samuel on reflexive modules over regular local rings. We characterize Gorenstein …

Let R be a commutative noetherian local ring and consider the set of isomorphism classes of
indecomposable totally reflexive R-modules. We prove that if this set is finite, then either it …

We prove that the class of Gorenstein injective modules is both enveloping and covering
over a two sided noetherian ring such that the character modules of Gorenstein injective …

A Noetherian local ring is the algebraic version of a ring of germs of functions defined in
neighborhoods of some point of an algebraic (or analytic) variety. Accordingly, local rings …