Acta Mathematica Hungarica

, Volume 156, Issue 2, pp 385–390 | Cite as

Algebraic functions on a three-element lattice

  • M. Tellechea


Algebraic functions are defined as those given by the solutions of systems of equations that have a unique solution. In this work we find a characterization of the clone of algebraic functions in the three-element bounded lattice over the language with one constant symbol.

Key words and phrases

lattice algebraic function clone 

Mathematics Subject Classification

06B99 06D99 


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  1. 1.
    Adams M.E., Dziobiak W.: Joins of minimal quasivarieties. Studia Logica, 54, 371–389 (1995)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Baker K., Pixley A.: Polynomial interpolation and the Chinese remainder theorem for algebraic systems. Mat. Z. 143, 165–174 (1975)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Campercholi M., Vaggione D.: Algebraic functions. Studia Logica, 98, 285–306 (2011)MathSciNetCrossRefGoogle Scholar
  4. 4.
    Campercholi M., Vaggione D.: Algebraic functions in quasiprimal algebras, Math. Log. Quart. 60, 154–160 (2014)CrossRefGoogle Scholar
  5. 5.
    Campercholi M., Vaggione D.: Semantical conditions for the definability of functions and relations. Algebra Universalis, 76, 71–98 (2015)MathSciNetCrossRefGoogle Scholar

Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  1. 1.Facultad de Matemática, Astronomía y FísicaUniversidad Nacional de CórdobaCórdobaArgentina

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