AN ALGORITHM FOR COMPUTING THE RATLIFF-RUSH CLOSURE

被引：9

作者：

Al-Ayyoub, Ibrahim ^{[1
]}

机构：

[1] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2009年 / 8卷 / 04期

关键词：

Ratliff-Rush closure; monomial ideals; reductions of ideals; Ratliff-Rush filtration; graded associated ring; GRADED RING; IDEALS;

D O I：

10.1142/S0219498809003473

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let I subset of K[x, y] be a < x, y >- primary monomial ideal where K is a field. This paper produces an algorithm for computing the Ratliff-Rush closure (I) over tilde for the ideal I = < m(0),..., m(n)> whenever mi is contained in the integral closure of the ideal < x(an), y(b0)>. This generalizes of the work of Crispin [2]. Also, it provides generalizations and answers for some questions given in [6], and enables us to construct infinite families of Ratliff-Rush ideals.

引用

页码：521 / 532

页数：12

共 11 条

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