A. V. Kartashova, “An analogue of McKenzie's theorem for topology lattices of finite algebras”, Fundam. Prikl. Mat., 2005, Volume 11, Issue 3,Pages <nobr>109

This article is cited in 3 papers

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

A. V. Kartashova

Volgograd State Pedagogical University

Abstract: 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).

UDC: 512.567.5+512.579