| Title:
|
One interval in the lattice of partial hyperclones (English) |
| Author:
|
Doroslovački, Rade |
| Author:
|
Pantović, Jovanka |
| Author:
|
Vojvodić, Gradimir |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
3 |
| Year:
|
2005 |
| Pages:
|
719-724 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper the structure of the interval $[O_A, Hp_A]$ in the lattice of partial hyperclones is determined, where $O_A$ is the clone of all total operations and $Hp_A$ is the clone of all partial hyperoperations on $A$. (English) |
| Keyword:
|
clone |
| Keyword:
|
hyperoperation |
| Keyword:
|
hyperalgebra |
| Keyword:
|
hyperclone |
| MSC:
|
08A40 |
| idZBL:
|
Zbl 1081.08005 |
| idMR:
|
MR2153096 |
| . |
| Date available:
|
2009-09-24T11:27:03Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128016 |
| . |
| Reference:
|
[1] S. Burris and H. P. Sankappanavar: A Course in Universal Algebra. Graduate Texts in Mathematics, Vol 78.Springer-Verlag, New York-Heidelberg-Berlin, 1981. MR 0648287 |
| Reference:
|
[2] Th. Drescher and R. Pöschel: Multiclones and relations.Multi-Val. Logic 7 (2001), 313–337. MR 1901118 |
| Reference:
|
[3] L. Haddad, I. G. Rosenberg and D. Schweigert: A maximal partial clone and a Slupecki-type criterion.Acta Sci. Math. 54 (1990), 89–98. MR 1073422 |
| Reference:
|
[4] R. Pöschel and L. A. Kalužnin: Funktionen und Relationenalgebren. Ein Kapitel der diskreten Mathematik.Deutscher Verlag der Wiss., Berlin, 1979 (in German); Birkhäuser Verlag, Basel u. Stuttgart (Math. Reihe Bd. 67). MR 0543839 |
| Reference:
|
[5] I. G. Rosenberg: An algebraic aproach to hyperalgebras.Proceedings of 26th ISMVL, Santiago de Compostela, May 28–31, 1996, IEEE, 1996, pp. 203–207. |
| Reference:
|
[6] I. G. Rosenberg: Multiple-valued hyperstructures.Proceedings of 28th ISMVL, May 27–29, 1998, IEEE, 1998, pp. 326–333. MR 1676973 |
| . |
