On the Buchsbaum-Rim function of a parameter module

Futoshi Hayasaka; Eero Hyry

doi:10.1016/j.jalgebra.2010.09.035

On the Buchsbaum-Rim function of a parameter module

Futoshi Hayasaka, Eero Hyry

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

5 Citations (Scopus)

Abstract

In this article, we prove that the Buchsbaum-Rim function ℓA(S_ν+1(F)/N^ν+1) of a parameter module N in F is bounded above by. for every integer ν>0. Moreover, it turns out that the base ring A is Cohen-Macaulay once the equality holds for some integer ν. As a direct consequence, we observe that the first Buchsbaum-Rim coefficient e1(F/N) of a parameter module N is always non-positive.

Original language	English
Pages (from-to)	307-315
Number of pages	9
Journal	Journal of Algebra
Volume	327
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2010.09.035
Publication status	Published - Feb 1 2011
Externally published	Yes

Keywords

Buchsbaum-Rim function
Multiplicity
Parameter module

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2010.09.035

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AU - Hyry, Eero

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AB - In this article, we prove that the Buchsbaum-Rim function ℓA(Sν+1(F)/Nν+1) of a parameter module N in F is bounded above by. for every integer ν>0. Moreover, it turns out that the base ring A is Cohen-Macaulay once the equality holds for some integer ν. As a direct consequence, we observe that the first Buchsbaum-Rim coefficient e1(F/N) of a parameter module N is always non-positive.

KW - Buchsbaum-Rim function

KW - Multiplicity

KW - Parameter module

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On the Buchsbaum-Rim function of a parameter module

Abstract

Keywords

ASJC Scopus subject areas

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