Two definable subcategories of maximal Cohen-Macaulay modules
Representation Theory
2019-11-13 v3 Commutative Algebra
Abstract
Over a Cohen-Macaulay ring we consider two extensions of the maximal Cohen-Macaulay modules from the viewpoint of definable subcategories, which are closed under direct limits, direct products and pure submodules. After describing these categories, we compare them and consider which properties they inherit from the maximal Cohen-Macaulay modules. We then consider some further properties of these classes and how they interact with the entire module category.
Cite
@article{arxiv.1904.08687,
title = {Two definable subcategories of maximal Cohen-Macaulay modules},
author = {Isaac Bird},
journal= {arXiv preprint arXiv:1904.08687},
year = {2019}
}
Comments
19 pages