Weak Gorenstein global dimension
Rings and Algebras
2009-05-05 v1 Commutative Algebra
Abstract
In this paper, we investigate the weak Gorenstein global dimensions. We are mainly interested in studying the problem when the left and right weak Gorenstein global dimensions coincide. We first show, for GF-closed rings, that the left and right weak Gorenstein global dimensions are equal when they are finite. Then, we prove that the same equality holds for any two-sided coherent ring. We conclude the paper with some examples and a brief discussion of the scope and limits of our results.
Cite
@article{arxiv.0905.0339,
title = {Weak Gorenstein global dimension},
author = {Driss Bennis},
journal= {arXiv preprint arXiv:0905.0339},
year = {2009}
}