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Keywords:
quasiorder hypergroup; congruence on a hypergroup; relational system
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.
References:
[1] Corsini P.: Prolegomena of Hypergroup Theory. Aviani Editore, Tricesimo, 1993. MR 1237639 | Zbl 0785.20032
[2] Corsini P.: Hypergraphs and hypergroups. Algebra Universalis 35 (1996), 548-555. MR 1392282 | Zbl 0858.05081
[3] Corsini P.: On the hypergroup associated with a binary relation. Mult.-Valued Log. 5 (2000), 407-419. MR 1802833
[4] Corsini P., Leoreanu V.: Applications of Hyperstructure Theory. Kluwer Academic Publishers, Dordrecht, Hardbound, ISBN 1-4020-1222-5, 2003. MR 1980853 | Zbl 1027.20051
[5] Corsini P., Leoreanu V.: Hypergroups and binary relations. Algebra Universalis 43 (2000), 321-330. MR 1785319 | Zbl 1016.20056
[6] Corsini P., Leoreanu V.: Hypergroups associated with graphs. Ital. J. Pure Appl. Math. 4 (1998), 119-126.
[7] Chajda I.: Algebraic Theory of Tolerance Relations. The Palacky University Olomouc, 1991. Zbl 0747.08001
[8] Chajda I.: Congruences in transitive systems. Math. Notes (Miskolc), to appear.
[9] Chvalina J.: Functional Graphs, Quasi-ordered Sets and Commutative Hypergroups. Masarykova Universita, Brno, 1995 (in Czech).
[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).
[11] Chvalina J., Hošková Š.: Abelization of weakly associative hyperstructures based on their direct squares. Acta Math. Inform. Univ. Ostraviensis, 2003, 12p. MR 2037307
[12] Marty F.: Sur une généralisation de la notion de groupe. Huitième Congr. math. Scan. (1934), Stockholm, pp.45-49. Zbl 0012.05303
[13] Rosenberg I.: Hypergroups and join spaces determined by relations. Ital. J. Pure Appl. Math. 4 (1998), 93-101. MR 1695479 | Zbl 0962.20055
[14] Vougiouklis T.: Hyperstructures and their Representations. Hadronic Press Monographs in Mathematics, Palm Harbor, Florida, 1994. MR 1270451 | Zbl 0828.20076
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