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Information Journal Paper

Title

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

Pages

  123-140

Keywords

$(H 
G)$-Hypergroups 
$(H 
Poly(P))$-Hypergroup 
$K_H$-Hypergroup 

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.

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