Cardinalities of lattices of topologies of unars and some related topics

Anna Kartashova

ArticleOriginal scientific text

Title

Cardinalities of lattices of topologies of unars and some related topics

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Affiliations

Department of Algebra and Geometry, Volgograd Pedagogical University, Eletskaya 7-177, 400120 Volgograd, Russia

Abstract

In this paper we find cardinalities of lattices of topologies of uncountable unars and show that the lattice of topologies of a unar cannor be countably infinite. It is proved that under some finiteness conditions the lattice of topologies of a unar is finite. Furthermore, the relations between the lattice of topologies of an arbitrary unar and its congruence lattice are established.

Keywords

ENG

unar, lattice of topologies, lattice of congruences

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Title

Cardinalities of lattices of topologies of unars and some related topics

Affiliations

Abstract

Keywords

Bibliography