The order of principal congruences of a bounded lattice

被引：15
|
作者：
Graetzer, G. [1 ]
机构：
[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada
来源：
ALGEBRA UNIVERSALIS | 2013年 / 70卷 / 01期
关键词：
principal congruence; order; PRESERVING EXTENSIONS; SEMIMODULAR LATTICES;
D O I：
10.1007/s00012-013-0242-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize the order of principal congruences of a bounded lattice (also of a complete lattice and of a lattice of length 5) as a bounded ordered set. We also state a number of open problems in this new field.
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页码：95 / 105
页数：11
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