ABSTRACT Let 𝒲, 𝒴, 𝒳 be three classes of left R-modules. In this paper, we introduce and
study (𝒲, 𝒴, 𝒳)-Gorenstein complexes as a common generalization of completely 𝒲-resolved …

Abstract Let $\mathcal {V, W} $ be two classes of modules. In this paper, we introduce and
study $\mathcal {VW} $-Gorenstein complexes as a common generalization of $\mathcal {W} …

For an integer N≥ 2 and three subcategories 𝒲, 𝒳, 𝒴 of modules, we study the notion of (𝒲,
𝒳, 𝒴)-Gorenstein N-complexes. We show that under certain hypotheses, an N-complex C is …

Abstract Let XX, UU and ZZ be classes of left R-modules, WW be a class of right R-modules
and X ⊆ UX⊆ U. In this paper, we investigate the relationship between Z Z-proper (resp. Z Z …

Let be a class of left R-modules that contains all projective left R-modules. We study a kind
of stability of-Gorenstein projective modules and settle in affirmative the following question …

In this paper we introduce the notion of Gorenstein X-flat R-module and study a kind of
stability of the class of Gorenstein X-flat R-modules. A ring R is called right GXF-closed if the …

This paper mainly study the stability of Gorenstein modules with respect to a semidualizing
module C (ie, Gorenstein C-projective, Gorenstein C-injective and Gorenstein C-flat …

We first introduce in the paper the W_F-Gorenstein modules to establish the following Foxby
equivalence: \xymatrix@C=80ptG(F)∩A_C\ar@\lt0.5ex>r^C⊗_R-\amp\,\,\,\,G(W_F)\ar@\lt0 …

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 …

We show that an iteration of the procedure used to define the Gorenstein projective modules
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …