I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2008, VOLUME 14, NUMBER 5, PAGES 85-92
On quasiorder lattices and topology lattices of algebras
A. V. Kartashova
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In this paper, it is shown that the dual of the quasiorder lattice of any
algebra is isomorphic to a sublattice of the
topology lattice .
Further, if is a finite algebra, then .
We give a sufficient condition for the lattices , , and
to be pairwise isomorphic.
These results are applied to investigate topology lattices and
quasiorder lattices of unary algebras.
Last modified: May 6, 2009