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arXiv · 2402.06566

About the Cohen-Macaulay defect and almost Cohen-Macaulay rings

Cristodor Ionescu
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Abstract

We notice the connection between almost Cohen-Macaulay rings and the Cohen-Macaulay defect. We introduce a Serre-type condition for modules, that is connected to the Cohen-Macaulay defect in the same way that the condition $(S_n)$ is connected to Cohen-Macaulay modules.

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Cristodor Ionescu. 2024-07-20. About the Cohen-Macaulay defect and almost Cohen-Macaulay rings. https://arxiv.org/abs/2402.06566

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