Commutative hypergroups associated with a hyperfield

2016/04/15 by Heyer, Herbert, Kawakami, Satoshi, Tsurii, Tatsuya +1
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1604.04361

Abstract

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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