Illinois Journal of Mathematics

Cohen–Macaulayness with respect to Serre classes

Mohsen Asgharzadeh and Massoud Tousi
Source: Illinois J. Math. Volume 53, Number 1 (2009), 67-85.

Abstract

Let R be a commutative Noetherian ring. The notion of regular sequences with respect to a Serre class of R-modules is introduced and some of their essential properties are given. Then in the local case, we explore a theory of Cohen–Macaulayness with respect to Serre classes.

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Primary Subjects: 13C14, 13C15
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Permanent link to this document: http://projecteuclid.org/euclid.ijm/1264170839
Mathematical Reviews number (MathSciNet): MR2584935
Zentralblatt MATH identifier: 1195.13012

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