A+ CATEGORY SCIENTIFIC UNIT

Separation properties in congruence lattices of lattices

Volume 83 / 2000

Miroslav Ploščica Colloquium Mathematicum 83 (2000), 71-84 DOI: 10.4064/cm-83-1-71-84

Abstract

We investigate the congruence lattices of lattices in the varieties $ℳ _n$. 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 $ℳ _n$ have different congruence lattices.

Authors

  • Miroslav Ploščica

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