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
收藏
页码：281 / 292
页数：12
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