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 
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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/