Group homomorphism on ultra-group

‎This paper presents an ultra-group $_HM$ which depends on the group $G$ and its subgroup $H$ have been defined‎. ‎Further‎, ‎it is proving that if $_HM$ is an ultra-group over group $G$ and $f$ is a monomorphism from group $G$ to group $G $‎, ‎then $f(M)$ is a transversal of subgroup $f(H)$ over the group $f(G)$‎. ‎Finally‎, ‎if $f$ is an isomorphism‎, ‎then $f(M)$ is an ultra-group of subgroup $f(H)$ over the group $G $‎