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A note on the core of a hypergroup and on the transitive closure \(\beta^*\) of \(\beta\). (Une note sur le coeur d’un hypergroupe et sur la cloture transitive \(\beta^*\) de \(\beta\).) (French) Zbl 0780.20047

Summary: A new characterization of the core of a hypergroup is obtained and it can be shown that in each hypergroup we have \(\beta^* = \beta\).

MSC:

20N20 Hypergroups
08A30 Subalgebras, congruence relations

Keywords:

core; hypergroup
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