Representation of lattices by congruence lattices of semigroups without idempotents

被引：0
作者：
Popovich, A. L. [1 ]
机构：
[1] Ural Fed Univ, Ekaterinburg, Russia
来源：
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2012年 / 18卷 / 03期
关键词：
congruence lattice; semigroup; representation of lattices;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is proved that every distributive algebraic lattice such that its compact elements form a lattice with unit can be represented as the congruence lattice of some semigroup without idempotents. This implies that every distributive algebraic lattice with at most countably many compact elements is also representable as the congruence lattice of a semigroup without idempotents.
引用
收藏
页码：208 / 217
页数：10
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