FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 3, PAGES 109-117

**An analogue of McKenzie's theorem for topology lattices of finite
algebras**

A.
V.
Kartashova

Abstract

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In this paper, it is shown that the topology lattice of any finite
algebra is isomorphic to the topology lattice of some finite algebra
with four unary operations.
Further, we present countably many unary algebras whose topology
lattices are distributive and nonisomorphic to a topology lattice
of any unar (a unar is an algebra with one unary operation).

Location: http://mech.math.msu.su/~fpm/eng/k05/k053/k05307h.htm

Last modified: September 14, 2005