ON HYPERRINGS ASSOCIATED WITH BINARY RELATIONS ON SEMIHYPERGROUP

Abstract

In this paper we construct a class of hyperrings associated with binary relations on semihypergroup. We establish a connection between the constructed hyperring (H, + _ρ1 , ◦ _ρ2) and the hyperring of multiendomorphisms of hypergroup (H, + _ρ1 ).  Also, we analyze subclasses of the constructed class, which are associated with partial orderings on a set of multimappings.