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 …

Projectively coresolved Gorenstein flat modules were introduced recently by Saroch and
Stovicek and were shown to be Gorenstein projective. While the relation between …

arXiv:2210.16816v4 [math.AC] 6 Aug 2023 Page 1 arXiv:2210.16816v4 [math.AC] 6 Aug 2023
STABILITY OF PROJECTIVELY CORESOLVED GORENSTEIN FLAT MODULES …

In this article, we give a new characterization of Gorenstein projective modules. As
applications of our result, we prove that a strongly Gorenstein projective module 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 …

There is a variety of nice results about strongly Gorenstein flat modules over coherent rings.
These results are done by Ding, Lie and Mao. The aim of this paper is to generalize some of …

We study approximations of modules of finite Gorenstein flat dimension by (projectively
coresolved) Gorenstein flat modules and modules of finite flat dimension. These …

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

The theory of Gorenstein injective and projective modules start, ed in [4] as an st, udy of
homology for Gorenstein rings, ie, rings which are noetherian on both sides and with finite …