Geodesic
Cardinalities of lattices of topologies of unars and some related topics
Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 2, pp. 129-137

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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: unar, lattice of topologies, lattice of congruences 
Kartashova, Anna. Cardinalities of lattices of topologies of unars and some related topics. Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 2, pp. 129-137. http://geodesic.mathdoc.fr/item/DMGAA_2001_21_2_a0/
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