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).

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Last modified: September 14, 2005