In this paper, we study the relation between $ m $-strongly Gorenstein projective (resp.
injective) modules and $ n $-strongly Gorenstein projective (resp. injective) modules …

We describe the Gorenstein derived categories of Gorenstein rings via the homotopy
categories of Gorenstein injective modules. We also introduce the concept of Gorenstein …

Let $\Lambda $ be an arbitrary monomial algebra. We investigate the stable category
$\underline {\operatorname {Gproj}}^{\mathbb {Z}}\Lambda $ of graded Gorenstein …

Let X be a class of right R-modules that contains all projective right R-modules. The notion of
X-Gorenstein projective modules was introduced by D. Bennis and K. Ouarghi (X-Gorenstein …

Let (S, 𝔫) be a commutative noetherian local ring and let ω∈ 𝔫 be non-zerodivisor. This
paper is concerned with the two categories of monomorphisms between finitely generated …

Let (L, A) be a bi-complete duality pair. We consider when the relative Gorenstein modules
with respect to such a duality pair coincide with the classical homological modules. As …

A complex C is called Gorenstein injective if there exists an exact sequence of
complexes⋯→ I− 1→ I0→ I1→⋯ such that each Ii is injective, C= Ker (I0→ I1) and the …

The aim of this paper is to characterize $ n $-Gorenstein rings in terms of Gorenstein
injective modules and the Ext functor. We will show that if $ R $ is a left and right noetherian …

This paper generalize the idea of the authors in\cite {Bennis and Mahdou1}. Namely, we
define and study a particular case of modules with Gorenstein projective, injective, and flat …

Let R be a ring (not necessarily commutative) and (ℒ, 𝒜) a bi-complete duality pair. We
investigate the notions of (flat-typed)(ℒ, 𝒜)-Gorenstein rings, which unify Iwanaga …