ON THE EQUALITY OF ORDINARY AND SYMBOLIC POWERS OF IDEALS

被引：4

作者：

Hosry, Aline ^{[1
]}

Kim, Youngsu ^{[2
]}

Validashti, Javid ^{[3
]}

机构：

[1] Notre Dame Univ Louaize, Dept Math & Stat, Zouk Mikael, Zouk Mosbeh, Lebanon

[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[3] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

JOURNAL OF COMMUTATIVE ALGEBRA | 2012年 / 4卷 / 02期

基金：

美国国家科学基金会;

关键词：

LOCAL-RINGS; CODIMENSION; STABILITY; CRITERIA; PRIMES;

D O I：

10.1216/JCA-2012-4-2-281

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the following question concerning the equality of ordinary and symbolic powers of ideals. In a regular local ring, if the ordinary and symbolic powers of a prime ideal are the same up to its height, then are they the same for all powers? We provide supporting evidence of a positive answer for classes of prime ideals defining monomial curves or rings of low multiplicities.

引用

页码：281 / 292

页数：12

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