The Cohen Macaulay property for noncommutative rings
Rings and Algebras
2016-07-05 v1 Algebraic Geometry
Abstract
Let R be a noetherian ring which is a finite module over its centre Z(R). This paper studies the consequences for R of the hypothesis that it is a maximal Cohen Macaulay Z(R)-module. Old results are reviewed and a number of new results are proved. The additional hypothesis of homological grade symmetry is proposed as the appropriate extra lever needed to extend the classical commutative homological hierarchy to this setting, and results are given offering evidence in support of this proposal.
Cite
@article{arxiv.1607.00921,
title = {The Cohen Macaulay property for noncommutative rings},
author = {K. A. Brown and M. J. MacLeod},
journal= {arXiv preprint arXiv:1607.00921},
year = {2016}
}
Comments
Preliminary version; comments welcome