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

نویسندگان
Mirvakili, Saeed ID 1
Hosseini, Somayeh ID 2
Davvaz, Bijan ID 3

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

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

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

doi
10.22052/mir.2023.245979.1332
چکیده

‎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.

کلیدواژه‌ها
$(H, G)$-Hypergroups, $(H, Poly(P))$-Hypergroup, $K_H$-Hypergroup, Hypergroup, Polygroup