Cohen-Macaulay Loci of modules

Details Cohen-Macaulay Loci of modules Cohen-Macaulay Loci of modules

2010-07-15

arxiv.org/abs/1007.2508v1

Mathematics

Commutative Algebra

18 pages, to appear in "Communications in Agebra"

Scientific paper

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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