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 …

In this paper, we investigate Gorenstein FC-projective modules and Gorenstein FC-
projective dimensions, and characterize rings over which every module is Gorenstein FC …

Given a field k, a finite-dimensional k-algebra A, and a finite acyclic quiver Q, let AQ be the
path algebra of Q over A. Then the category of representations of Q over A is equivalent to …

This paper is a continuation of the paper Int. Electron. J. Algebra 6 (2009), 219-227. Namely,
we introduce and study a doubly filtered set of classes of rings of finite Gorenstein global …

In this note, we shed new light on Krull domains from the point view of Gorenstein
homological algebra. By using the so-called woperation, we show that an integral domain R …

In this note, we prove that an Artinian local ring is G-semisimple (resp., SG-semisimple, 2-SG-
semisimple) if and only if its maximal ideal is G-projective (resp., SG-projective, 2-SG …

Let ℰ be an injectively resolving subcategory of left R-modules. We study a particular case of
ℰ-Gorenstein injective and flat modules, called strongly ℰ-Gorenstein injective and flat …

Let n⩾ 1 and k⩾ 0 be fixed integers and R be a ring. We show that R is (n, k)-SG with G‐
gldim (R)= k if and only if R [x 1, x 2,…, xm] is (n, k+ m)-SG with G‐gldim (R [x 1, x 2,…, xm]) …

设A 是阿贝尔范畴, X 是A 的子范畴. Sather-Wagstaff, Sharif 和White 引入了Gorenstein
子范畴的概念, 记为G (X). 我们用PP (相应地, P) 代表纯投射R-模类(相应地, 投射R-模类) …