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

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

• $(h,g)$-hypergroups
• $(h
• poly(p))$-hypergroup
• $k_h$-hypergroup
• hypergroup
• polygroup