Abstract: The definition of adequate right e-wlpp semigroup is given according to the right e-wlpp semigroup. The mapping λ⁺ and ρ⁺ from S to itself is introduced using the relation between adequate right e-wlpp semigroup and idempotent set E(S). It is proved that the translation hull of right e-wlpp semigroup is still right e-wlpp semigroup. The translation hull of an adequate right e-wlpp semigroup is still an adequate right e-wlpp semigroup.