Displaying similar documents to “Special congruence triples for a regular semigroup.”

Separation properties in congruence lattices of lattices

Miroslav Ploščica (2000)

Colloquium Mathematicae

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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.

Distribution semigroups on k 1

M. Mijatović, S. Pilipović (2003)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques

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Relatively pseudocomplemented directoids

Ivan Chajda (2009)

Commentationes Mathematicae Universitatis Carolinae

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The concept of relative pseudocomplement is introduced in a commutative directoid. It is shown that the operation of relative pseudocomplementation can be characterized by identities and hence the class of these algebras forms a variety. This variety is congruence weakly regular and congruence distributive. A description of congruences via their kernels is presented and the kernels are characterized as the so-called p -ideals.