On the regularity of product of irreducible monomial ideals

被引：0

作者：

Gao, Yubin ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Sch Math & Stat, Xian 710062, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2023年 / 22卷 / 04期

基金：

美国国家科学基金会;

关键词：

Castelnuovo-Mumford regularity; irreducible monomial ideal; product of ideals; CASTELNUOVO-MUMFORD REGULARITY;

D O I：

10.1142/S0219498823500809

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S = k[x(1), ... , x(n)] be a polynomial ring in n variables over a field k. When I, J and K are monomial ideals of S generated by powers of the variables x(i), it is proved that reg(IJK) <= reg(I) + reg(J) + reg(K). If n <= 4, the same result for the product of a finite number of ideals as above is proved.

引用

页数：7

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