On geometric lattices and matroids of arbitrary cardinality

被引：0

作者：

Mao, Hua ^{[1
]}

机构：

[1] Hebei Univ, Dept Math, Baoding 071002, Peoples R China

来源：

ARS COMBINATORIA | 2006年 / 81卷

关键词：

geometric lattice; matroid; closed set; arbitrar cardinality;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies in detail on the collection,of closed sets of a matroid of arbitrary cardinality ordered by inclusion. The relation between the collection,in particular the collection of a simple matroid, and a finite length geometric lattice is dealt with. Finally, one obtains that up to isomorphism, a finite length geometric lattice is a simple matroid, and v ice versa.

引用

页码：23 / 32

页数：10