Separation properties in congruence lattices of lattices
Volume 83 / 2000
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.