Journal of Mathematical Sciences

, Volume 144, Issue 2, pp 3949–3954 | Cite as

An analog of McKenzie’s theorem for topology lattices of finite algebras

  • A. V. Kartashova


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).


Unary Operation Unary Algebra Congruence Lattice Lattice Isomorphism Finite Algebra 
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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • A. V. Kartashova
    • 1
  1. 1.Department of Algebra, Geometry, and InformaticsVolgograd State Pedagogical UniversityRussia

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