Abstract
The Cohen–Macaulay type of idealizations of maximal Cohen–Macaulay modules over Cohen–Macaulay local rings is closely explored. There are two extremal cases, one of which is related to the theory of Ulrich modules, and the other one is related to the theory of residually faithful modules and closed ideals, developed by Brennan and Vasconcelos.
Funding Statement
The first author was partially supported by the JSPS Grant-in-Aid for Scientific Research (C), 16K05112. The first and second authors were partially supported by Bilateral Programs of JSPS and International Research Supporting Programs of Meiji University. The third was partially supported by International Research Supporting Programs of Meiji University, and funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.04-2017.10.
Citation
Shiro GOTO. Shinya KUMASHIRO. Nguyen Thi Hong LOAN. "Residually faithful modules and the Cohen–Macaulay type of idealizations." J. Math. Soc. Japan 71 (4) 1269 - 1291, October, 2019. https://doi.org/10.2969/jmsj/80398039
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