Residually faithful modules and the Cohen-Macaulay type of idealizations
Commutative Algebra
2018-04-24 v1
Abstract
The Cohen-Macaulay type of idealizations of maximal Cohen-Macaulay modules over Cohen-Macaulay local rings is explored. There are two extremal cases, one of which is closely related to the theory of Ulrich modules \cite{BHU, GOTWY1, GOTWY2, GTT2}, and the other one is closely related to the theory of residually faithful modules and the theory of closed ideals \cite{BV}.
Keywords
Cite
@article{arxiv.1804.07885,
title = {Residually faithful modules and the Cohen-Macaulay type of idealizations},
author = {Shiro Goto and Shinya Kumashiro and Nguyen Thi Hong Loan},
journal= {arXiv preprint arXiv:1804.07885},
year = {2018}
}
Comments
22 pages. Comments are welcome