Geometric Lattices Generated by Idempotent Matrices over Finite Fields

被引：0

作者：

Zhang, Ying ^{[1
]}

机构：

[1] Maritime Univ, Dept Math, Dalian 116026, Peoples R China

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2014年 / 52卷 / 01期

基金：

中国国家自然科学基金;

关键词：

geometric lattice; idempotent matrix; characteristic polynomial; finite field;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A few results on the set of idempotent matrix are obtained over finite field. Then by defining new matrix ordering relation over a certain set of idempotent matrices, a family of geometric lattices is obtained. Its characteristic polynomial is also computed.

引用

页码：52 / 61

页数：10