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arXiv 2016-04-15 0 views

Commutative hypergroups associated with a hyperfield

Heyer, Herbert · Kawakami, Satoshi · Tsurii, Tatsuya · Yamanaka, Satoe

Original · EN

In the present paper we introduce a commutative hypergroup associated with a hyperfield of a compact commutative hypergroup based on a discrete commutative hypergroup. Moreover we investigate the dual hyperfield and show the dual relation. As an application we study some hypergroups related to a pair of commutative hypergroups.

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