The category of maximal Cohen--Macaulay modules as a ring with several objects
Commutative Algebra
2014-08-05 v1
Abstract
Over a commutative local Cohen--Macaulay ring, we view and study the category of maximal Cohen--Macaulay modules as a ring with several objects. We compute the global dimension of this category and thereby extend a result of Leuschke to the case where the ring has arbitrary (as opposed to finite) CM-type.
Cite
@article{arxiv.1408.0691,
title = {The category of maximal Cohen--Macaulay modules as a ring with several objects},
author = {Henrik Holm},
journal= {arXiv preprint arXiv:1408.0691},
year = {2014}
}