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About the heart of a hypergroup. (English) Zbl 0904.20052

Authors’ summary: This paper presents some types of hypergroups, associated to an arbitrary hypergroup, studying the properties and the heart of them, establishes results concerning the width and gives some other results about the sequence of hearts, which can be associated to a hypergroup, in connection with the subhypergroups generated by a non-empty set, by a union of subhypergroups or by the intersection of subhypergroups, if it is not empty.

MSC:

20N20 Hypergroups
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