Note on (weak) Gorenstein global dimensions
Commutative Algebra
2009-11-02 v1
Abstract
In this note we characterize the (resp., weak) Gorenstein global dimension for an arbitrary ring. Also, we extend the well-known Hilbert's syzygy Theorem to the weak Gorenstein global dimension and we study the weak Gorenstein homological dimensions of direct product of rings, which gives examples of non-coherent rings of finite Gorenstein dimensions and infinite classical weak dimension.
Cite
@article{arxiv.0910.5752,
title = {Note on (weak) Gorenstein global dimensions},
author = {Najib Mahdou and Mohammed Tamekkante},
journal= {arXiv preprint arXiv:0910.5752},
year = {2009}
}