The index of reducibility of parameter ideals and mostly zero finite local cohomologies

Jung Chen Liu; Mark W. Rogers

doi:10.1080/00927870600876169

The index of reducibility of parameter ideals and mostly zero finite local cohomologies

Jung Chen Liu
, Mark W. Rogers^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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, m), and if H_mⁱ (M) ≠ 0 for at most two positive values of i, then there exists an integer l such that every parameter ideal for M contained in m^l has the same index of reducibility.

Original language	English
Pages (from-to)	4083-4102
Number of pages	20
Journal	Communications in Algebra
Volume	34
Issue number	11
DOIs	https://doi.org/10.1080/00927870600876169
Publication status	Published - 2006 Nov 1

Keywords

Finite local cohomologies
Index of reducibility
Local cohomology
Parameter ideal
Socle
Type
Unmixed component

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927870600876169

Cite this

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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, m), and if Hmi (M) ≠ 0 for at most two positive values of i, then there exists an integer l such that every parameter ideal for M contained in ml has the same index of reducibility.",

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AB - 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, m), and if Hmi (M) ≠ 0 for at most two positive values of i, then there exists an integer l such that every parameter ideal for M contained in ml has the same index of reducibility.

KW - Finite local cohomologies

KW - Index of reducibility

KW - Local cohomology

KW - Parameter ideal

KW - Socle

KW - Type

KW - Unmixed component

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ER -

The index of reducibility of parameter ideals and mostly zero finite local cohomologies

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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