Given an abelian category, we introduce a categorical concept of (strongly) Gorenstein
projective (resp., injective) objects, by defining a new special class of objects. Then we study …

In this paper, we study the relationship of Gorenstein projective objects among three Abelian
categories in a recollement. As an application, we introduce the relation of $ n $-Gorenstein …

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 …

Let $\A $ be an abelian category, and $\V $, $\W $ two additive full subcategories of $\A $.
We introduce and study the $\V\W $-Gorenstein subcategory of $\A $, which unifies many …

In this paper we construct Gorenstein-projective modules over Morita rings with zero
bimodule homomorphisms and we provide sufficient conditions for such rings to be …

Given an additive category C and an integer n⩾ 2. We form a new additive category C [ϵ] n
consisting of objects X in C equipped with an endomorphism ϵ X satisfying ϵ X n= 0. First …

DERIVED CATEGORY WITH RESPECT TO GORENSTEIN AC-PROJECTIVE MODULES Tianya
Cao, Zhongkui Liu and Xiaoyan Yang Abstract 1. Introduc Page 1 TY CAO, ZK LIU AND XY …

We give conditions on when a triangular matrix ring is Gorenstein of a given selfinjective
dimension. We apply the result to the category algebra of a finite EI category. In particular …

arXiv:2403.05097v1 [math.AC] 8 Mar 2024 Page 1 arXiv:2403.05097v1 [math.AC] 8 Mar 2024
EQUIVALENCES OF STABLE CATEGORIES OF GORENSTEIN LOCAL RINGS TONY J …

We find sufficient and necessary conditions for the category of Gorenstein projective
modules of an artin algebra being an abelian category, and give another proof for the …