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Original Articles

Non-Cohen-Macaulay Locus and Non Generalized Cohen-Macaulay Locus

, &
Pages 4414-4425 | Received 18 Mar 2013, Published online: 14 May 2014
 

Abstract

Let (R, 𝔪) be a Noetherian local ring and M a finitely generated R-module. In this paper, we improve and extend some known relations among the non-Cohen–Macaulay locus nCM(M), the polynomial type p(M) and the annihilators of local cohomology modules . A characterization for the base ring R being universally catenary with all Cohen–Macaulay formal fibers is given. The nongeneralized Cohen–Macaulay locus nGCM(M) of M is described.

2010 Mathematics Subject Classification:

Notes

Communicated by G. Leugchke.

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