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Rahro Zargar M. Maximal relative Cohen-Macaulay and tensor products of relative Cohen-Macaulay modules. mmr 2024; 10 (2) :21-33
URL: http://mmr.khu.ac.ir/article-1-3355-en.html

In this paper, as a generalization of the notion of maximal Cohen-Macaulay module over a local ring $R$, we introduce a concept of relative maximal Cohen-Macaulay module with respect to an ideal of $R$. Then, we investigate some properties and characterizations of such modules and as an application of them, we provide generalization and improvement for the results cite[Theorem 3.1]{KAW} and cite[Theorem 1.11]{KHY}.