| Title:
|
Tolerances on powers of a finite algebra (English) |
| Author:
|
Duda, Jaromír |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
3 |
| Year:
|
1992 |
| Pages:
|
299-304 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is shown that any power $A^n, n\geq 2$, of a finite $k$-element algebra $A, k\geq 2$, has factorable tolerances whenever the power $A^{4k^2-3k}$ has the same property. (English) |
| Keyword:
|
factorable tolerance |
| Keyword:
|
powers of finite algebras |
| Keyword:
|
finite algebra |
| Keyword:
|
power |
| MSC:
|
08A05 |
| MSC:
|
08A30 |
| idZBL:
|
Zbl 0777.08004 |
| idMR:
|
MR1184543 |
| DOI:
|
10.21136/MB.1992.126279 |
| . |
| Date available:
|
2009-09-24T20:53:56Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126279 |
| . |
| Reference:
|
[1] S. Burris R. Willard: Finitely many primitive positive clones.Proc. Amer. Math. Soc. 101 (1987), 427-430. MR 0908642, 10.1090/S0002-9939-1987-0908642-5 |
| Reference:
|
[2] I. Chajda: Lattices of compatible relations.Arch. Math. Brno 13 (1977), 89-96. Zbl 0372.08002, MR 0463081 |
| Reference:
|
[3] R. Willard: Congruence lattices of powers of an algebra.Algebra Univ. 26 (1989), 332-340. Zbl 0686.08008, MR 1044852, 10.1007/BF01211839 |
| . |
