Let ℰ be an injectively resolving subcategory of left R-modules. We introduce and study ℰ-
Gorenstein flat modules as a common generalization of some known modules such as …

In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …

Let $ mathcal {A} $ be an abelian category with enough projective objects and $ mathcal {X}
$ be a full subcategory of $ mathcal {A} $. We define Gorenstein projective objects with …

In this article, the concept of Gorenstein FP-injective modules and some related known
results are generalized to Gorenstein FP-injective complexes. Moreover, some new …

The object of this article is to determine when a commutative Artin local ring A is the
homomorphic image ofa Gorenstein ring t F in such a way that the kernel of the …

Let $\varphi\colon R\rightarrow A $ be a ring homomorphism, where $ R $ is a commutative
noetherian ring and $ A $ is a finite $ R $-algebra. We give criteria for detecting the ascent …

Let R be a commutative Noetherian ring, 𝔞 be an ideal of R and denote the derived category
of R-modules. We investigate the theory of local homology in conjunction with Gorenstein …

One of the main results of this paper is the characterization of the rings over which all
modules are strongly Gorenstein projective. We show that these kinds of rings are very …

In this paper, we give a characterization of Gorenstein orders over a commutative¿-
dimensional Gorenstein local ring (Theorem 1.1) and study some special classes of …

Mao and Ding introduced the concept of injective modules. D. Bennis and N. Mahdou
introduced and studied the concept of strongly Gorenstein projective and injective modules …