Title

The Index of Reducibility of Parameter Ideals and Mostly Zero Finite Local Cohomologies

Abstract

In this article we prove that if M is a finitely-generated module of dimension d with finite local cohomologies over a Noetherian local ring (A, ), and if for at most two positive values of i, then there exists an integer ℓ such that every parameter ideal for M contained in  ℓ has the same index of reducibility.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1080/00927870600876169

Keywords

finite local cohomologies, index of reducibility, local cohomology, parameter ideal, socle, type, unmixed component

Publication Date

2006

Journal Title

Communications in Algebra

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