Semihypergroups

Abstract

Let be an ordered semihypergroup and ‎. ‎We denote by the hyperfilter of generated by . ‎Define an equivalence relation on ‎. ‎In this note‎, ‎we show that is the intersection of the relations‎‎ or , ‎where runs over the completely prime hyperideals of . ‎Moreover‎, ‎we give some results on ordered semihypergroups‎.