When every Gorenstein projective (resp. flat) module is strongly Gorenstein projective (resp. flat)
Commutative Algebra
2009-09-15 v1
Abstract
In \cite{Ouarghi}, the authors discuss the rings over which all modules are strongly Gorenstein projective. In this paper, we are interesting to an extension of this idea. Thus, we discuss the rings over which every Gorenstein projective (resp. flat) module is strongly Gorenstein projective (resp, flat). Our aim is to give examples of rings with different Gorenstein global dimension satisfied this condition.
Cite
@article{arxiv.0909.2384,
title = {When every Gorenstein projective (resp. flat) module is strongly Gorenstein projective (resp. flat)},
author = {Najib Mahdou and Mohamed Tamekkante},
journal= {arXiv preprint arXiv:0909.2384},
year = {2009}
}