The classes of GC homological modules over commutative ring, where C is a semidualizing
module, extend Holm and J gensen's notions of C-Gorenstein homological modules to the …

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 …

Recently, Hu et al. introduced the notion of Gorenstein FP-injective modules and
investigated a notion of Gorenstein FP-injective dimension for complexes. Let R be a left …

Gillespie posed two questions in [Front. Math. China 12 (2017) 97-115], one of which states
that “for what rings R do we have K (AC)= K (R-Inj)?”. We give an answer to such a question …

In this paper, we investigate the rings over which a module is Gorenstein flat if and only if it is
Gorenstein projective. Some examples of such rings are given. We show that over such …

Let R be a local commutative n-Gorenstein ring. The existence of the Gorenstein projective
preenvelopes for finite R-modules is known (it was proved using duality arguments). In the …

One of the main results of this paper is the characterization of the rings over which all
modules are strongly Gorenstein projective. We show that these kinds of rings are very …

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

For a left and right Noetherian ring R, we give some equivalent characterizations for RR
satisfying the Auslander condition in terms of the flat (resp. injective) dimensions of the terms …

Abstract Let 𝒱, 𝒲, 𝒴, 𝒳 be four classes of modules. We introduce a notion of (𝒱, 𝒲, 𝒴, 𝒳)-
Gorenstein modules which unifies a number of well-known Gorenstein modules. Under …