MATHEMATICA BOHEMICA, Vol. 125, No. 4, pp. 497-504 (2000)

Characterizing binary discriminator algebras

Ivan Chajda

Ivan Chajda, Department of Algebra and Geometry, Palacky University Olomouc, Tomkova 40, 779 00 Olomouc, Czech Republic, e-mail: chajda@risc.upol.cz

Abstract: The concept of the (dual) binary discriminator was introduced by R. Halas, I. G. Rosenberg and the author in 1999. We study finite algebras having the (dual) discriminator as a term function. In particular, a simple characterization is obtained for such algebras with a majority term function.

Keywords: binary discriminator, majority function, compatible relation, finite algebra

Classification (MSC2000): 08A40, 08A05

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