On a Conjecture on the weak global dimension of Gaussian rings
Commutative Algebra
2011-07-05 v1
Abstract
Bazzoni and Glaz conjecture that the weak global dimension of a Gaussian ring is 0,1 or \infty. In this paper, we prove their conjecture in all cases except when R is a non-reduced local Gaussian ring with nilradical \mathcal{N}^2=0$.
Keywords
Cite
@article{arxiv.1107.0440,
title = {On a Conjecture on the weak global dimension of Gaussian rings},
author = {Guram Donadze and Viji Thomas},
journal= {arXiv preprint arXiv:1107.0440},
year = {2011}
}