| Title:
|
Characterizing binary discriminator algebras (English) |
| Author:
|
Chajda, Ivan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
125 |
| Issue:
|
4 |
| Year:
|
2000 |
| Pages:
|
497-504 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
binary discriminator |
| Keyword:
|
majority function |
| Keyword:
|
compatible relation |
| Keyword:
|
finite algebra |
| MSC:
|
08A05 |
| MSC:
|
08A40 |
| idZBL:
|
Zbl 0967.08004 |
| idMR:
|
MR1802298 |
| DOI:
|
10.21136/MB.2000.126269 |
| . |
| Date available:
|
2009-09-24T21:46:12Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126269 |
| . |
| Reference:
|
[1] Baker K. A., Pixley A. F.: Polynomial interpolation and the Chinese remainder theorem for algebraic systems.Math. Z. 143 (1975), 165-174. Zbl 0292.08004, MR 0371782, 10.1007/BF01187059 |
| Reference:
|
[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. MR 1648750 |
| Reference:
|
[3] Chajda I., Halaš R., Rosenberg I. G.: Ideals and the binary discriminator in universal algebra.Algebra Universalis 42 (1999), 239-251. MR 1759484, 10.1007/s000120050001 |
| Reference:
|
[4] Davey B. A., Schumann V. J., Werner H.: From the subalgebra of the square to the discriminator.Algebra Universalis 28 (1991), 500-519. MR 1128387, 10.1007/BF01195860 |
| Reference:
|
[5] Fried E., Pixley A. F.: The dual discriminator function in universal algebra.Acta Sci. Math. 41 (1979), 83-100. Zbl 0395.08001, MR 0534502 |
| Reference:
|
[6] Pixley A. F.: Functionally complete algebras generating distributive and permutable classes.Math. Z. 114 (1970), 361-372. MR 0262148, 10.1007/BF01110387 |
| Reference:
|
[7] Pixley A. F.: The ternary discriminator function in universal algebra.Math. Ann. 191 (1971), 167-180. MR 0292738, 10.1007/BF01578706 |
| . |
