Two definable subcategories of maximal Cohen-Macaulay modules

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:224

Article

Bird, Isaac¹ 

[1] Univ Manchester, Dept Math, Alan Turing Bldg,Oxford Rd, Manchester M13 9PL, Lancs, England

关键词: Maximal Cohen-Macaulay module;    Definable categories;    Cotorsion pair;    Direct limit closure;    Balanced big Cohen-Macaulay module;   

DOI  :  10.1016/j.jpaa.2019.106250

来源: Elsevier

【 摘 要 】

Over a Cohen-Macaulay local 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 presenting 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. Crown Copyright (C) 2019 Published by Elsevier B.V. All rights reserved.

【 授权许可】

Free