Maximal relative Cohen-Macaulay and tensor products of relative Cohen-Macaulay modules

Author
Majid Rahro Zargar
University of Mohaghegh Ardabili
Abstract


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}.
Keywords
Local cohomology
maximal Cohen-Macaulay module
relative Cohen-Macaulay module
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