Local separation in distributive semilattices

被引：0
|
作者：
Miroslav Ploščica
机构：
[1] Slovak Academy of Sciences,Mathematical Institute
来源：
algebra universalis | 2005年 / 54卷
关键词：
06B10; 54H10; 08A30; Congruence; distributive semilattice; refinement;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce the Local Separation Property (LSP) for distributive semilattices. We show that LSP holds in many semilattices of the form ConcA, where A is a lattice. On the other hand, we construct an abstract example of a distributive lattice without LSP. Our research is connected with the well known open problem whether every distributive algebraic lattice is isomorphic to the congruence lattice of some lattice.
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页码：323 / 335
页数：12
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