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.

引用

页数：11

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