University of Kashan Mathematics Interdisciplinary Research 2538-3639 8 2 2023 08 01 Topics on $(H,Poly(P))$-Hypergroups 123 140 113908 10.22052/mir.2023.245979.1332 EN Saeed Mirvakili Department of Mathematics, Payame Noor University, Tehran, Iran Somayeh Hosseini Department of Mathematics, Payame Noor University, Tehran, Iran Bijan Davvaz Department of Mathematical Sciences, Yazd University, Yazd, Iran Journal Article 2022 01 28 ‎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. $(H,G)$-Hypergroups $(H Poly(P))$-Hypergroup $K_H$-Hypergroup Hypergroup Polygroup https://mir.kashanu.ac.ir/article_113908_f36a8692669d2839e7cf27e16283d122.pdf