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arXiv · 1604.04361

Commutative hypergroups associated with a hyperfield

Herbert Heyer·Satoshi Kawakami·Tatsuya Tsurii·Satoe Yamanaka
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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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Herbert Heyer, Satoshi Kawakami, Tatsuya Tsurii, Satoe Yamanaka. 2016-04-15. Commutative hypergroups associated with a hyperfield. https://arxiv.org/abs/1604.04361

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