2 papers
math.KT2020
Gorenstein objects in the n-Trivial extensions of abelian categories
Dirar Benkhadra
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 st…
math.CT2019
The category of modules on an n-trivial extension: the basic properties
Dirar Benkhadra, Driss Bennis, J. R. Garcia Rozas
In this paper we investigate a categorical aspect of -trivial extension of a ring by a family of modules. Namely, we introduce the right (resp., left) -trivial extension of a…