Cohen-Macaulay Loci of modules
classification
🧮 math.AC
keywords
cohen-macaulaycertainstudiedcasesconnectionfibresfiniteformal
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The Cohen-Macaulay locus of any finite module over a noetherian local ring $A$ is studied and it is shown that it is a Zariski-open subset of $\Spec A$ in certain cases. In this connection, the rings whose formal fibres over certain prime ideals are Cohen-Macaulay are studied.
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