In this paper, we study certain properties of modules of finite Gorenstein projective, injective
and flat dimensions. We examine conditions which imply that all Gorenstein projective …

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 …

In this paper we introduce and study the weak Gorenstein global dimension of a ring $ R $
with respect to a left $ R $-module $ C $. We provide several characterizations of when this …

In recent years, a variant of Gorenstein homological algebra has been successfully
introduced. It consists of replacing, in certain situations, the base ring by a semidualizing …

Let H be a finite-dimensional Hopf algebra over a field k, and let A be an H-module algebra.
In this paper, we discuss the cotorsion dimension of the smash product A# H. We prove that …

Abstract Set 𝔊𝔉 (R) the class of all Gorenstein flat modules over R. In this paper, we
consider the double orthogonal classes⊥(𝔊𝔉 (R)⊥) and (⊥ 𝔊𝔉 (R))⊥ which clearly lies …

We prove that if R is a semiartinian commutative ring, the Gorenstein global dimension of R
equals the supremum of the Gorenstein projective and injective dimensions of simple R …

1. Введение. Всюду в статье под модулями подразумеваются произвольные левые
модули, а под пространствами–k-пространства над фиксированным полем k. Через H …

RIGHT GORENSTEIN GLOBAL DIMENSION OF AN (ALMOST) EXCELLENT EXTENSION Page
1 February 10, 2011 10:38 WSPC/INSTRUCTION FILE 08Mahtame Asian-European Journal of …