| Title:
|
A factorization of quasiorder hypergroups (English) |
| Author:
|
Chajda, Ivan |
| Author:
|
Hošková, Šárka |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
45 |
| Issue:
|
4 |
| Year:
|
2004 |
| Pages:
|
573-581 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The contribution is devoted to the question of the interchange of the construction of a quasiorder hypergroup from a quasiordered set and the factorization. (English) |
| Keyword:
|
quasiorder hypergroup |
| Keyword:
|
congruence on a hypergroup |
| Keyword:
|
relational system |
| MSC:
|
06F99 |
| MSC:
|
08A02 |
| MSC:
|
08A30 |
| MSC:
|
18A40 |
| MSC:
|
20N20 |
| idZBL:
|
Zbl 1101.20051 |
| idMR:
|
MR2103075 |
| . |
| Date available:
|
2009-05-05T16:47:37Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119485 |
| . |
| Reference:
|
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| Reference:
|
[2] Corsini P.: Hypergraphs and hypergroups.Algebra Universalis 35 (1996), 548-555. Zbl 0858.05081, MR 1392282 |
| Reference:
|
[3] Corsini P.: On the hypergroup associated with a binary relation.Mult.-Valued Log. 5 (2000), 407-419. MR 1802833 |
| Reference:
|
[4] Corsini P., Leoreanu V.: Applications of Hyperstructure Theory.Kluwer Academic Publishers, Dordrecht, Hardbound, ISBN 1-4020-1222-5, 2003. Zbl 1027.20051, MR 1980853 |
| Reference:
|
[5] Corsini P., Leoreanu V.: Hypergroups and binary relations.Algebra Universalis 43 (2000), 321-330. Zbl 1016.20056, MR 1785319 |
| Reference:
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| Reference:
|
[7] Chajda I.: Algebraic Theory of Tolerance Relations.The Palacky University Olomouc, 1991. Zbl 0747.08001 |
| Reference:
|
[8] Chajda I.: Congruences in transitive systems.Math. Notes (Miskolc), to appear. |
| Reference:
|
[9] Chvalina J.: Functional Graphs, Quasi-ordered Sets and Commutative Hypergroups.Masarykova Universita, Brno, 1995 (in Czech). |
| Reference:
|
[10] Chvalina J., Hošková Š.: Abelization of quasi-hypergroups as reflexion.Second Conf. Math. and Physics at Technical Universities, Military Academy Brno, Proc. of Contributions, MA Brno (2001), pp.47-53 (in Czech). |
| Reference:
|
[11] Chvalina J., Hošková Š.: Abelization of weakly associative hyperstructures based on their direct squares.Acta Math. Inform. Univ. Ostraviensis, 2003, 12p. MR 2037307 |
| Reference:
|
[12] Marty F.: Sur une généralisation de la notion de groupe.Huitième Congr. math. Scan. (1934), Stockholm, pp.45-49. Zbl 0012.05303 |
| Reference:
|
[13] Rosenberg I.: Hypergroups and join spaces determined by relations.Ital. J. Pure Appl. Math. 4 (1998), 93-101. Zbl 0962.20055, MR 1695479 |
| Reference:
|
[14] Vougiouklis T.: Hyperstructures and their Representations.Hadronic Press Monographs in Mathematics, Palm Harbor, Florida, 1994. Zbl 0828.20076, MR 1270451 |
| . |
