We determine all the Gorenstein-projective modules over the T2-extension of a Gorenstein
algebra, and over (AM0B), where A and B are self-injective algebras, and M is an AB …

We introduce the notion of a perfect path for a monomial algebra. We classify
indecomposable non-projective Gorenstein-projective modules over the given monomial …

Let A be an artin algebra. An A-module M will be said to be semi-Gorenstein-projective
provided that Ext i (M, A)= 0 for all i≥ 1. All Gorenstein-projective modules are semi …

Let Δ (φ, ψ)=(AANBBMAB) be a Morita ring which is an Artin algebra. In this paper we
investigate the relations between the Gorenstein-projective modules over a Morita ring Δ (φ …

In this article, we give a new characterization of Gorenstein projective modules. As
applications of our result, we prove that a strongly Gorenstein projective module of …

In this paper, we study a particular case of Gorenstein projective, injective, and flat modules,
which we call, respectively, strongly Gorenstein projective, injective, and flat modules. These …

Inspired in one of Auslander's characterizations of Gorenstein projective modules in [I],
Enochs and Jenda in [5] define t, he left derived functors of Horn (instead of the usual right …

The aim of this paper is to outline the structure of the category of the Gorenstein projective Λ-
modules, where Λ is a Nakayama algebra. In addition, we are going to introduce the …

Gorenstein homological algebra is a kind of relative homological algebra which has been
developed to a high level since more than four decades. In this report we review the basic …

Gorenstein derived categories are defined, and the relation with the usual derived
categories is given. The bounded Gorenstein derived categories of Gorenstein rings and of …