R will denote an n-Gorenstein ring, that is, R is left and right noetherian with injective
dimension at most n on either side. R module will mean a left R-module and all modules will …

Auslander and Buchweitz showed that over certain rings all finitely generated modules have
Gorenstein projective precovers (over Cohen-Macauley rings these are their maximal …

Projectively coresolved Gorenstein flat modules were introduced recently by Saroch and
Stovicek and were shown to be Gorenstein projective. While the relation between …

We introduce the concepts of generalized compatible and cocompatible bimodules in order
to characterize Gorenstein projective, injective and flat modules over trivial ring extensions …

We introduce the notion of relative singularity category with respect to a self‐orthogonal
subcategory ω of an abelian category. We introduce the Frobenius category of ω‐Cohen …

This paper generalize the idea of the authors in J. Pure Appl. Algebra 210 (2007) 437–445.
Namely, we define and study a particular case of Gorenstein projective modules. We …

Gorenstein Sequences and G, Condition Page 1 JOURNAL OF ALGEBRA 39, 349-359 (1976)
Gorenstein Sequences and G, Condition MARIA GRAZIA MARINARI* Department of …

We propose a concept of module liaison that extends Gorenstein liaison of ideals and
provides an equivalence relation among unmixed modules over a commutative Gorenstein …

ABSTRACT Let 𝒲, 𝒴, 𝒳 be three classes of left R-modules. In this paper, we introduce and
study (𝒲, 𝒴, 𝒳)-Gorenstein complexes as a common generalization of completely 𝒲-resolved …

We give a sufficient condition for the class of Gorenstein injective modules be precovering: if
$ R $ is right noetherian and if the class of Gorenstein injective modules, $\mathcal {GI} $, is …