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

Let R be a commutative noetherian Gorenstein local ring with maximal ideal m and an
infinite residue field k. In studying minimal Cohen-Macaulay approximation of a finitely …

We define and study a notion of Gorenstein projective dimension for complexes of left
modules over associative rings. For complexes of finite Gorenstein projective dimension we …

We study criteria for a ring—or more generally, for a small category—to be Gorenstein and
for a module over it to be of finite projective dimension. The goal is to unify the universal …

In this paper we solve a problem, originally raised by Grothendieck, on the transfer of Cohen–
Macaulayness to tensor products of algebras over a field k. As a prelude to this, we …

Recently, Hu and Xi have exhibited derived equivalent endomorphism rings arising from
(relative) almost split sequences as well as AR-triangles in triangulated categories. We …

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 …

We study Serre duality in the singularity category of an isolated Gorenstein singularity and
find an explicit formula for the duality pairing in terms of generalised fractions and residues …

Cohomology of exact categories and (non-)additive sheaves - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

We show that an iteration of the procedure used to define the Gorenstein projective modules
over a commutative ring R yields exactly the Gorenstein projective modules. Specifically …