The aim of this paper is to characterize $ n $-Gorenstein rings in terms of Gorenstein
injective modules and the Ext functor. We will show that if $ R $ is a left and right noetherian …

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 …

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 …

We prove that all Gorenstein projective modules are Gorenstein flat if and only each
Gorenstein projective module has finite Gorenstein flat dimension. As applications, some …

In this paper, we introduce the concept of Gorenstein flat comodules and give a description
of colocalization of Gorenstein flat comodules. A right C-comodule M is called a Gorenstein …

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

Let $ S $ and $ R $ be rings and $ _ {S} C_ {R} $ a semidualizing bimodule. We introduce
the notion of $ G_C $-$ FP_n $-injective modules, which generalizes $ G_C $-$ FP …

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 R be a ring. We introduce the concept of Gorenstein f-projective R-modules and obtain
some closure properties of Gorenstein f-projective R-modules. As a consequence, we …

Inspired in one of Auslander's characterizations of Gorenstein projective modules in [I],
Enochs and Jenda in [5] define t, he left derived functors of Horn (instead of the usual right …