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 …

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 study the relation between Gorenstein derived and pure derived categories
under some conditions. Then, we also study the relation between Gorenstein singularity and …

Full article: The tensor product of Gorenstein-projective modules over category algebras Skip to
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log …

We establish some relationships between Gorenstein AC-projective modules and
Gorenstein AC-flat modules. As applications, we obtain some new characterizations of …

X -INJECTIVE AND GORENSTEIN X -INJECTIVE MODULES Page 1 Far East Journal of
Mathematical Sciences (FJMS) © 2014 Pushpa Publishing House, Allahabad, India …

The main objective of this paper is to study the relative derived categories from various
points of view. Let A be an abelian category and C be a contravariantly finite subcategory 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 …

The paper is devoted to study some of the questions arises naturally in connection to the
notion of relative derived categories. In particular, we study invariants of recollements …

Let 𝒜 be an abelian category. A subcategory 𝒳 of 𝒜 is called coresolving if 𝒳 is closed under
extensions and cokernels of monomorphisms and contains all injective objects of 𝒜. In this …