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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… Click to show full 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:
modules cohen;
cohen macaulay;
macaulay type;
macaulay;
type idealizations;
residually faithful
Journal Title: Journal of the Mathematical Society of Japan
Year Published: 2019
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Journal Title: Journal of the Mathematical Society of Japan
Year Published: 2019
Link to full text (if available)
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recommendations!