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^*

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

2 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	4083-4102
頁數	20
期刊	Communications in Algebra
卷	34
發行號	11
DOIs	https://doi.org/10.1080/00927870600876169
出版狀態	已發佈 - 2006 11月 1

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代數與數理論

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10.1080/00927870600876169

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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.

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KW - Index of reducibility

KW - Local cohomology

KW - Parameter ideal

KW - Socle

KW - Type

KW - Unmixed component

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

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