A note on congruence lattices of slim semimodular lattices

被引：10

作者：

Czedli, Gabor ^{[1
]}

机构：

[1] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary

来源：

ALGEBRA UNIVERSALIS | 2014年 / 72卷 / 03期

关键词：

rectangular lattice; planar lattice; semimodular lattice; congruence lattice;

D O I：

10.1007/s00012-014-0286-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, G. Gratzer has raised an interesting problem: Which distributive lattices are congruence lattices of slim semimodular lattices? We give an eight element slim distributive lattice that cannot be represented as the congruence lattice of a slim semimodular lattice. Our lattice demonstrates the difficulty of the problem.

引用

页码：225 / 230

页数：6

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