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.
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页码：32 / 40
页数：9
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