Depth of associated graded rings via Hilbert coefficients of ideals

Alberto Corso; Claudia Polini; Maria Evelina Rossi

doi:10.1016/j.jpaa.2004.12.045

Depth of associated graded rings via Hilbert coefficients of ideals

Alberto Corso, Claudia Polini, Maria Evelina Rossi

Mathematics

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

16 Scopus citations

Abstract

Given a local Cohen-Macaulay ring (R, m), we study the interplay between the integral closedness - or even the normality - of an m-primary R-ideal I and conditions on the Hilbert coefficients of I. We relate these properties to the depth of the associated graded ring of I.

Original language	English
Pages (from-to)	126-141
Number of pages	16
Journal	Journal of Pure and Applied Algebra
Volume	201
Issue number	1-3
DOIs	https://doi.org/10.1016/j.jpaa.2004.12.045
State	Published - Oct 1 2005

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2004.12.045

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title = "Depth of associated graded rings via Hilbert coefficients of ideals",

abstract = "Given a local Cohen-Macaulay ring (R, m), we study the interplay between the integral closedness - or even the normality - of an m-primary R-ideal I and conditions on the Hilbert coefficients of I. We relate these properties to the depth of the associated graded ring of I.",

author = "Alberto Corso and Claudia Polini and Rossi, {Maria Evelina}",

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AU - Corso, Alberto

AU - Polini, Claudia

AU - Rossi, Maria Evelina

PY - 2005/10/1

Y1 - 2005/10/1

N2 - Given a local Cohen-Macaulay ring (R, m), we study the interplay between the integral closedness - or even the normality - of an m-primary R-ideal I and conditions on the Hilbert coefficients of I. We relate these properties to the depth of the associated graded ring of I.

AB - Given a local Cohen-Macaulay ring (R, m), we study the interplay between the integral closedness - or even the normality - of an m-primary R-ideal I and conditions on the Hilbert coefficients of I. We relate these properties to the depth of the associated graded ring of I.

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VL - 201

SP - 126

EP - 141

IS - 1-3

ER -

Depth of associated graded rings via Hilbert coefficients of ideals

Abstract

ASJC Scopus subject areas

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