Let W be a self-orthogonal class of left R-modules. We introduce and study W-Gorenstein
modules as a common generalization of some known modules such as 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 …

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

In this article, Gorenstein FP-injective modules are introduced and investigated. A left R-
module M is called Gorenstein FP-injective if there is an exact sequence…→ E 1→ E 0→ E …

In this article, we study V-Gorenstein modules relatives to a dualizing module (Enochs et
al.,). These modules constitute a generalization of the well-known Gorenstein modules and …

In this paper, we generalize the notion of Gorenstein projective modules. Namely, we
introduce X-Gorenstein projective modules, where X is a class of modules that contains all …

In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ 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 …

Let R be a commutative (possibly non-Noetherian) ring (in order to make things less
technical) and C a semidualizing R-module. In this article, we introduce and investigate the …

In this paper, we give a relationship between projective generators (resp., injective
cogenerators) in the category of R-modules and the counterparts in the category of …