English

Commutative hypergroups associated with a hyperfield

Functional Analysis 2016-04-18 v1

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.

Cite

@article{arxiv.1604.04361,
  title  = {Commutative hypergroups associated with a hyperfield},
  author = {Herbert Heyer and Satoshi Kawakami and Tatsuya Tsurii and Satoe Yamanaka},
  journal= {arXiv preprint arXiv:1604.04361},
  year   = {2016}
}
R2 v1 2026-06-22T13:33:01.193Z