A factorization of quasiorder hypergroups
Commentationes Mathematicae Universitatis Carolinae (2004)
- Volume: 45, Issue: 4, page 573-581
- ISSN: 0010-2628
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topChajda, Ivan, and Hošková, Šárka. "A factorization of quasiorder hypergroups." Commentationes Mathematicae Universitatis Carolinae 45.4 (2004): 573-581. <http://eudml.org/doc/249336>.
@article{Chajda2004,
abstract = {The contribution is devoted to the question of the interchange of the construction of a quasiorder hypergroup from a quasiordered set and the factorization.},
author = {Chajda, Ivan, Hošková, Šárka},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {quasiorder hypergroup; congruence on a hypergroup; relational system; quasiorder hypergroups; congruences on hypergroups; relational systems},
language = {eng},
number = {4},
pages = {573-581},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A factorization of quasiorder hypergroups},
url = {http://eudml.org/doc/249336},
volume = {45},
year = {2004},
}
TY - JOUR
AU - Chajda, Ivan
AU - Hošková, Šárka
TI - A factorization of quasiorder hypergroups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2004
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 45
IS - 4
SP - 573
EP - 581
AB - The contribution is devoted to the question of the interchange of the construction of a quasiorder hypergroup from a quasiordered set and the factorization.
LA - eng
KW - quasiorder hypergroup; congruence on a hypergroup; relational system; quasiorder hypergroups; congruences on hypergroups; relational systems
UR - http://eudml.org/doc/249336
ER -
References
top- Corsini P., Prolegomena of Hypergroup Theory, Aviani Editore, Tricesimo, 1993. Zbl0785.20032MR1237639
- Corsini P., Hypergraphs and hypergroups, Algebra Universalis 35 (1996), 548-555. (1996) Zbl0858.05081MR1392282
- Corsini P., On the hypergroup associated with a binary relation, Mult.-Valued Log. 5 (2000), 407-419. (2000) MR1802833
- Corsini P., Leoreanu V., Applications of Hyperstructure Theory, Kluwer Academic Publishers, Dordrecht, Hardbound, ISBN 1-4020-1222-5, 2003. Zbl1027.20051MR1980853
- Corsini P., Leoreanu V., Hypergroups and binary relations, Algebra Universalis 43 (2000), 321-330. (2000) Zbl1016.20056MR1785319
- Corsini P., Leoreanu V., Hypergroups associated with graphs, Ital. J. Pure Appl. Math. 4 (1998), 119-126. (1998)
- Chajda I., Algebraic Theory of Tolerance Relations, The Palacky University Olomouc, 1991. Zbl0747.08001
- Chajda I., Congruences in transitive systems, Math. Notes (Miskolc), to appear.
- Chvalina J., Functional Graphs, Quasi-ordered Sets and Commutative Hypergroups, Masarykova Universita, Brno, 1995 (in Czech).
- 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).
- Chvalina J., Hošková Š., Abelization of weakly associative hyperstructures based on their direct squares, Acta Math. Inform. Univ. Ostraviensis, 2003, 12p. MR2037307
- Marty F., Sur une généralisation de la notion de groupe, Huitième Congr. math. Scan. (1934), Stockholm, pp.45-49. Zbl0012.05303
- Rosenberg I., Hypergroups and join spaces determined by relations, Ital. J. Pure Appl. Math. 4 (1998), 93-101. (1998) Zbl0962.20055MR1695479
- Vougiouklis T., Hyperstructures and their Representations, Hadronic Press Monographs in Mathematics, Palm Harbor, Florida, 1994. Zbl0828.20076MR1270451
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