A condition for modular lattices

被引：0
|
作者：
Wang, Jun [1 ]
Wu, Jun [1 ]
机构：
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
来源：
ALGEBRA UNIVERSALIS | 2007年 / 57卷 / 04期
基金：
中国国家自然科学基金;
关键词：
geometric lattice; modular lattice; chain; cutset;
D O I：
10.1007/s00012-007-2064-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper proves that a geometric lattice of rank n is a modular lattice if its every maximal chain contains a modular element of rank greater than 1 and less than n. This result is generalized to a more general lattices of finite rank.
引用
收藏
页码：491 / 496
页数：6
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