Dual spaces of some congruence lattices

被引：11

作者：

Ploscica, M ^{[1
]}

机构：

[1] Slovak Acad Sci, Math Inst, Kosice 04001, Slovakia

来源：

TOPOLOGY AND ITS APPLICATIONS | 2003年 / 131卷 / 01期

关键词：

open compact set; Boolean space; congruence lattice;

D O I：

10.1016/S0166-8641(02)00259-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For any set X and any n greater than or equal to 3 we define a topological space L-n(X) and characterize its closed subspaces if \X\ less than or equal to N-1. As an application we obtain a characterization of congruence lattices of algebras in some varieties of lattices. The spaces L-n(X) are close to Boolean spaces, but they are not Hausdorff. (C) 2002 Elsevier Science B.V All rights reserved.

引用

页码：1 / 14

页数：14

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