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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1033,
author = {Anna Kartashova},
title = {Cardinalities of lattices of topologies of unars and some related topics},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {21},
year = {2001},
pages = {129-137},
zbl = {1002.08001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1033}
}
Anna Kartashova. Cardinalities of lattices of topologies of unars and some related topics. Discussiones Mathematicae - General Algebra and Applications, Tome 21 (2001) pp. 129-137. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1033/
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