Minimal primes over permanental ideals

被引：6

作者：

Kirkup, George A. ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 360卷 / 07期

关键词：

D O I：

10.1090/S0002-9947-08-04340-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we discuss minimal primes over permanental ideals of generic matrices. We give a complete list of the minimal primes over ideals of 3 x 3 permanents of a generic matrix, and show that there are monomials in the ideal of maximal permanents of a d x( 2d- 1) matrix if the characteristic of the ground field is sufficiently large. We also discuss the Alon- Jaeger- Tarsi Conjecture, using our results and techniques to strengthen the previously known results.

引用

页码：3751 / 3770

页数：20

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