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ArticleOriginal scientific text

Title

Separation properties in congruence lattices of lattices

Authors 1

Affiliations

  1. Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, 04001 Košice, Slovakia

Abstract

We investigate the congruence lattices of lattices in the varieties ℳn. Our approach is to represent congruences by open sets of suitable topological spaces. We introduce some special separation properties and show that for different n the lattices in ℳn have different congruence lattices.

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Colloquium Mathematicum
2000/83/1
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Pages:
71-84
Main language of publication
English
Received
1999-05-04
Accepted
1999-08-04
Published
2000
Exact and natural sciences