Lattices with many congruences are planar

被引：8
|
作者：
Czedli, Gabor [1 ]
机构：
[1] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary
来源：
ALGEBRA UNIVERSALIS | 2019年 / 80卷 / 01期
基金：
芬兰科学院;
关键词：
Planar lattice; Lattice congruence; Congruence lattice;
D O I：
10.1007/s00012-019-0589-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let L be an n-element finite lattice. We prove that if L has more than 2n-5 congruences, then L is planar. This result is sharp, since for each natural number n8, there exists a non-planar lattice with exactly 2n-5 congruences.
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页数：11
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