One of the open problems in Gorenstein homological algebra is: when is the class of
Gorenstein injective modules closed under arbitrary direct limits? It is known that if the class …

Let R be a commutative Noetherian ring and let M be a finite (that is, finitely generated) R-
module. The notion grade of M, grade M, has been introduced by Rees as the least integer …

A semi-dualizing module over a commutative noetherian ring A is a finitely generated
module C with RHomA (C, C)≃ A in the derived category D (A). We show how each such …

We prove that the finitistic dimension conjecture, the Gorenstein Symmetry Conjecture, the
Wakamatsu-tilting conjecture and the generalized Nakayama conjecture hold for artin …

In this paper, we study the finitistic dimensions of artin algebras by establishing a
relationship between the global dimensions of the given algebras, on the one hand, and the …

Gorenstein dimension and torsion of modules over commutative noetherian rings Page 1
COMMUNICATIONS IN ALGEBRA, 28(l2), 5783-58 1 1 (2000) GORENSTEIN DIMENSION …

We first give precise connections between Auslander–Bridger's grade, double centraliser
properties and dominant dimension, and apply these to homological conjectures. Then we …

Let R be a local ring and M a finitely generated R-module. The complete intersection
dimension of M–defined by Avramov, Gasharov and Peeva, and denoted–is a homological …

Recently, the notion of Gorenstein AC-projective (resp., Gorenstein AC-injective) modules
was introduced in by which the so-called “Gorenstein AC-homological algebra” was …

Let A be an Artin algebra, M be a Gorenstein projective A-module and B= End AM. We give
a characterization of modules on B and show that if A is Ω 2-representation-finite, then B is …