Residually faithful modules and the Cohen-Macaulay type of idealizations
classification
🧮 math.AC
keywords
cohen-macaulaymodulestheorycitecloselyfaithfulidealizationsrelated
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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 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}.
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