Let X be a class of left R-modules, Y be a class of right R-modules. In this article, we
introduce and study Gorenstein (X, Y)-flat modules as a common generalization of some …

Abstract A left R-module M is called two-degree strongly Gorenstein flat if there exists an
exact sequence⋯⟶ D 1⟶ D 0⟶ D− 1⟶ D− 2⟶⋯ of strongly Gorenstein flat left R-modules …

A left R-module M is called two-degree Gorenstein flat if there exists an exact sequence of
Gorenstein flat left R-modules⋅⋅⋅→ G2→ G1→ G0→ G− 1→ G− 2→⋅⋅⋅ such that M≅ Ker …

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 …

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 …

In this article, the new concept of relative Gorenstein flat modules is introduced. We give a
survey of their behavior in terms of both structural and dimension properties. We relate the …

In this paper, we introduce the concepts of Gorenstein FI-injective and Gorenstein FI-flat
modules and we are concerned with the stability of the class of Gorenstein FI-flat modules …

In this paper, we introduce Gorenstein weak injective and weak flat modules in terms of,
respectively, weak injective and weak flat modules; the classes of Gorenstein weak injective …

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

Let ℰ be an injectively resolving subcategory of left R-modules. We introduce and study ℰ-
Gorenstein flat modules as a common generalization of some known modules such as …