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

页码：491 / 496

页数：6

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