K-nilpotent groups based on hypergroups

Document Type : Original Article


Department of Mathematics, Payame Noor University (PNU), Iran


Fundamental relations are one of the main tools in connection relation between hyperstructures theory and structures theory. In this paper, we introduce a general fundamental relation on any hypergroup in such a way that all fundamental relations are a special case of this relation. Also, this study considered the notation of the relation on the derivation of $k$-nilpotent groups from any hypergroups.