Quasi-Order Hypergroups and T-Hypergroups

Authors

  • Šárka Hošková-Mayerová University of Defence Brno, Department of Mathematics and Physics, Kounicova 65, 612 00 Brno,

DOI:

https://doi.org/10.23755/rm.v32i0.333

Keywords:

Quasi-order hypergroup, order hypergroup, tolerance relation, transformation semihypergroup, transformation hypergroup

Abstract

Quasi-order hypergroups were introduced by J. Chvalina in 90s of the last
century. They form a subclass of the class of all hypergroups, i.e. structures
with one associative hyperoperation fulfilling the reproduction axiom. In this
paper a theorem which allows an easy description of all quasi-order hyper-
groups is mentioned and some results concerning the relation of quasi-order
and upper quasi-order hypergroups are given. Furthermore the transformation
hypergroups acting on tolerance spaces are defined and an example of them is
given

References

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Published

2017-07-30

Issue

Vol. 32 (2017)

Section

Volume 32-2017

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