Hv-Normal subgroups and Hv-quotient groups

A larger class of algebraic hyperstructures satisfying the group-like axioms is the class of hv-groups. in this paper, without any condition and in general, we define the hv-normal subgroup and the hv-quotient group of an hv-group. we introduce the fundamental equivalence relation of an hv-quotient group and prove the first and third isomorphism theorems for hv-groups