Characterizing binary discriminator algebras

Ivan Chajda

Mathematica Bohemica (2000)

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

Abstract

top
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

top

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

top
  1. Baker K. A., Pixley A. F., 10.1007/BF01187059, Math. Z. 143 (1975), 165-174. (1975) Zbl0292.08004MR0371782DOI10.1007/BF01187059
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.