Characterizing binary discriminator algebras

Ivan Chajda

Mathematica Bohemica (2000)

  • Volume: 125, Issue: 4, page 497-504
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Chajda, Ivan. "Characterizing binary discriminator algebras." Mathematica Bohemica 125.4 (2000): 497-504. <http://eudml.org/doc/248659>.

@article{Chajda2000,
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.},
author = {Chajda, Ivan},
journal = {Mathematica Bohemica},
keywords = {binary discriminator; majority function; compatible relation; finite algebra; binary discriminator; majority function; compatible relation; finite algebra},
language = {eng},
number = {4},
pages = {497-504},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Characterizing binary discriminator algebras},
url = {http://eudml.org/doc/248659},
volume = {125},
year = {2000},
}

TY - JOUR
AU - Chajda, Ivan
TI - Characterizing binary discriminator algebras
JO - Mathematica Bohemica
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 125
IS - 4
SP - 497
EP - 504
AB - 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.
LA - eng
KW - binary discriminator; majority function; compatible relation; finite algebra; binary discriminator; majority function; compatible relation; finite algebra
UR - http://eudml.org/doc/248659
ER -

References

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  2. Chajda I., Rosenberg I. G., Discriminator algebras with one nullary operation, Contributions to General Algebra 10, Proc. of the Klagenfurt Conference 1997. Verlag Johannes Heyn, Klagenfurt, 1998, pp. 101-107. (1997) MR1648750
  3. Chajda I., Halaš R., Rosenberg I. G., 10.1007/s000120050001, Algebra Universalis 42 (1999), 239-251. (1999) MR1759484DOI10.1007/s000120050001
  4. Davey B. A., Schumann V. J., Werner H., 10.1007/BF01195860, Algebra Universalis 28 (1991), 500-519. (1991) MR1128387DOI10.1007/BF01195860
  5. Fried E., Pixley A. F., The dual discriminator function in universal algebra, Acta Sci. Math. 41 (1979), 83-100. (1979) Zbl0395.08001MR0534502
  6. Pixley A. F., 10.1007/BF01110387, Math. Z. 114 (1970), 361-372. (1970) MR0262148DOI10.1007/BF01110387
  7. Pixley A. F., 10.1007/BF01578706, Math. Ann. 191 (1971), 167-180. (191) MR0292738DOI10.1007/BF01578706

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