Finitistic Weak Dimension of Commutative Arithmetical Rings
Commutative Algebra
2012-05-03 v1
Abstract
It is proven that each commutative arithmetical ring has a finitistic weak dimension . More precisely, this dimension is 0 if is locally IF, 1 if is locally semicoherent and not IF, and 2 in the other cases.
Cite
@article{arxiv.1105.5960,
title = {Finitistic Weak Dimension of Commutative Arithmetical Rings},
author = {Francois Couchot},
journal= {arXiv preprint arXiv:1105.5960},
year = {2012}
}