Gorenstein objects in the n-Trivial extensions of abelian categories
K-Theory and Homology
2024-07-08 v3 Category Theory
Abstract
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 the transfer of these properties when passing to an abelian category and its n-trivial extension category and also give a characterization of Gorenstein object over it. We give, at the end, applications of this study on the category of modules over an associative ring and triangular matrix rings.
Keywords
Cite
@article{arxiv.2005.09038,
title = {Gorenstein objects in the n-Trivial extensions of abelian categories},
author = {Dirar Benkhadra},
journal= {arXiv preprint arXiv:2005.09038},
year = {2024}
}
Comments
Conflict between authors