We consider a ring R such that the class of Gorenstein injective modules is closed under
direct limits. We prove that the class of dg-Gorenstein injective complexes is covering in Ch …

This article continues to investigate a particular case of Gorenstein FP-injective modules,
called strongly Gorenstein FP-injective modules. Some examples are given to show that …

Gorenstein injective, projective and coflat comodules were introduced and studied by
Asensio and Enochs et al. We further investigate these comodules and introduce n …

Throughout R is an associative ring with identity and all modules are unitary. Unless stated
otherwise, an R-module will be understood to be a left R-module. As usual, pdR (M) and idR …

We give some equivalent characterizations of $\mathcal {GP} $, the class of Gorenstein
$(\mathcal {L},\mathcal {A}) $-projective modules, and construct some model structures …

In this paper, we introduce and study the notions of Gorenstein n-FP-injective and
Gorenstein n-flat complexes, which are special cases of Gorenstein FP-injective and …

In order to establish the Foxby equivalences associated to strongly Gorenstein modules, we
introduce the notions of strongly WP-Gorenstein, WI-Gorenstein and WF-Gorenstein …

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 …

The relation between the Auslander (resp., Bass) class and the class of modules with finite
Gorenstein projective (resp., injective) dimension is well known when these mentioned …

In this paper we show that if the class f of R-modules is closed under well ordered direct
limits, then the class f is preenveloping in the category of R-modules if and only if the class …