Let R be a graded ring. We introduce the concepts of Ding gr-injective and Ding gr-
projective R-modules, which are the graded analogues of Ding injective and Ding projective …

V-GORENSTEIN PROJECTIVE, INJECTIVE AND FLAT MODULES Page 1 ROCKY MOUNTAIN
JOURNAL OF MATHEMATICS Volume 42, Number 6, 2012 V-GORENSTEIN PROJECTIVE …

Let R be a Gorenstein ring. We prove that if I is an ideal of R such that R/I is a semi-simple
ring, then the Gorenstein flat dimension of R/I as a right R-module and the Gorenstein …

This paper introduces the notion of strongly n-projectively coresolved Gorenstein flat
modules (or strongly n-PGF modules, for short), where n is a nonnegative integer. Using this …

Gorenstein homological modules and Auslander categories with respect to a semidualizing
module* Page 1 第 62 卷 第 4 期 2023 年 7 月 Vol. 62 No. 4 Jul. 2023 中山大学学报(自然科学 …

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 …

Unless stated otherwise, throughout this paper all rings are associative with identity and all
modules are unitary modules. Let R be a ring. We denote by R-Mod (Mod-R) the category of …

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

We extend the notion of virtually Gorenstein rings to the setting of arbitrary rings, and prove
that all rings R of finite Gorenstein weak global dimension are virtually Gorenstein such that …

We prove that the class of Gorenstein injective modules is covering if and only if it is closed
under direct limits. This adds to the list of examples that support Enochs conjecture: Every …