Topics on $(H,Poly(P))$-Hypergroups

Document Type : Original Scientific Paper

Authors

1 Department of Mathematics, Payame Noor University, Tehran, Iran

2 Department of Mathematical Sciences, Yazd University, Yazd, Iran

Abstract

‎In this paper‎, ‎we construct a hypergroup by using a hypergroup‎
‎$(H,\circ)$ and a polygroup $(P,\cdot)$‎, ‎and call it‎
‎$(H,Poly(P))$-hypergroup‎. ‎The method of constructing hypergroups in this paper is not present in the established techniques of group theory‎. ‎Moreover‎, ‎we compare‎
‎$(H,Poly(P))$-hypergroups with $K_H$-hypergroups‎, ‎complete‎
‎hypergroups and extensions of polygroups by polygroups‎.

Keywords

Main Subjects


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