Direct limits of Cohen-Macaulay rings
Commutative Algebra
2013-12-25 v1
Abstract
Let be a direct limit of a direct system of Cohen-Macaulay rings. In this paper, we describe the Cohen-Macaulay property of . Our results indicate that is not necessarily Cohen-Macaulay. We show is Cohen-Macaulay under various assumptions. As an application, we study Cohen-Macaulayness of non-affine normal semigroup rings.
Keywords
Cite
@article{arxiv.1312.6799,
title = {Direct limits of Cohen-Macaulay rings},
author = {Mohsen Asgharzadeh and Mehdi Dorreh and Massoud Tousi},
journal= {arXiv preprint arXiv:1312.6799},
year = {2013}
}
Comments
16 pages, To appear in the Journal of Pure and Applied Algebra