The stable set of associated prime ideals of a polymatroidal ideal

被引：55

作者：

Herzog, Juergen ^{[1
]}

Rauf, Asia ^{[2
]}

Vladoiu, Marius ^{[3
]}

机构：

[1] Univ Duisburg Essen, Fachbereich Math, D-45117 Essen, Germany

[2] Abdus Salam Int Ctr Theoret Phys ICTP, Trieste, Italy

[3] Univ Bucharest, Fac Math & Comp Sci, Bucharest 010014, Romania

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2013年 / 37卷 / 02期

关键词：

Associated prime ideals; Polymatroidal ideals; Analytic spread; ALGEBRAS; POWERS;

D O I：

10.1007/s10801-012-0367-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The associated prime ideals of powers of polymatroidal ideals are studied, including the stable set of associated prime ideals of this class of ideals. It is shown that polymatroidal ideals have the persistence property and for transversal polymatroids and polymatroidal ideals of Veronese type the index of stability and the stable set of associated ideals is determined explicitly.

引用

页码：289 / 312

页数：24

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