Full article: GORENSTEIN AND Ω-GORENSTEIN INJECTIVE COVERS AND FLAT
PREENVELOPES Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

This paper discusses a variant theory for the Gorenstein flat dimension. Actually, since it is
not yet known whether the category GF (R) of Gorenstein flat modules over a ring R is …

A NOTE ON CARTAN-EILENBERG GORENSTEIN CATEGORIES Bo Lu*, Wei Ren and
Zhongkui Liu Abstract 1. Introduction A generalization of c Page 1 B. LU, W. REN AND Z. LIU …

In this paper, we study Gorenstein injective modules over a local Noetherian ring R. For an
R-module M, we show that M is Gorenstein injective if and only if Hom R (Ȓ, M) belongs to …

The classical global and weak dimensions of rings play an important role in the theory of
rings and have a great impact on homological and commutative algebra. In this paper, we …

Let R be a commutative ring and C a semidualizing R-module. We investigate the relations
between C-flat modules and C-FP-injective modules and use these modules and their …

We continue our work on adic semidualizing complexes over a commutative noetherian ring
R by investigating the associated Auslander and Bass classes (collectively known as Foxby …

In this article we characterize Gorenstein rings of Krull dimension at most one by using
divisible envelopes. Some of these results were known in, where the given ring is an integral …

Let R be a commutative Noetherian ring of Krull dimension d, and let a be an ideal of R. In
this paper, we will study the strong cotorsioness and the Gorenstein injectivity of the section …

Let $ A $ be an Artin algebra, $ M $ be a Gorenstein projective $ A $-module and $ B= $ End
$ _A M $, then $ M $ is a $ A $-$ B $-bimodule. We use the restricted flat dimension of …