Depth of associated graded rings via Hilbert coefficients of ideals

被引：23
|
作者：
Corso, A
Polini, C
Rossi, ME
机构：
[1] Univ Genoa, Dipartimento Matemat, I-16132 Genoa, Italy
[2] Univ Kentucky, Dept Math, Lexington, KY 40506 USA
[3] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2005年 / 201卷 / 1-3期
关键词：
D O I：
10.1016/j.jpaa.2004.12.045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (c) 2005 Elsevier B.V. All rights reserved.
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页码：126 / 141
页数：16
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