An extension theorem for planar semimodular lattices

被引：9

作者：

Graetzer, G. ^{[1
]}

Schmidt, E. T. ^{[2
]}

机构：

[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

[2] Budapest Univ Technol & Econ, Math Inst, H-1521 Budapest, Hungary

来源：

PERIODICA MATHEMATICA HUNGARICA | 2014年 / 69卷 / 01期

关键词：

Principal congruence; Order; Semimodular; Rectangular; ARGUESIAN LATTICES; CONGRUENCES;

D O I：

10.1007/s10998-014-0035-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that every finite distributive lattice can be represented as the congruence lattice of a rectangular lattice in which all congruences are principal. We verify this result in a stronger form as an extension theorem.

引用

页码：32 / 40

页数：9

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