Cohen-Macaulay Loci of modules
Commutative Algebra
2010-07-16 v1
Abstract
The Cohen-Macaulay locus of any finite module over a noetherian local ring is studied and it is shown that it is a Zariski-open subset of in certain cases. In this connection, the rings whose formal fibres over certain prime ideals are Cohen-Macaulay are studied.
Cite
@article{arxiv.1007.2508,
title = {Cohen-Macaulay Loci of modules},
author = {Mohammad T. Dibaei and Raheleh Jafari},
journal= {arXiv preprint arXiv:1007.2508},
year = {2010}
}
Comments
18 pages, to appear in "Communications in Agebra"