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arXiv · 1007.2508

Cohen-Macaulay Loci of modules

Abstract

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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BibTeXRIS

Mohammad T. Dibaei, Raheleh Jafari. 2010-07-15. Cohen-Macaulay Loci of modules. https://arxiv.org/abs/1007.2508

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