In this paper, we study some characteristics of E-injective N-groups. Here, we obtain how direct sum of Einjective N-groups shows some interesting results. The SEI- N-group

implies Sσ(E)I - N-group for finitely generated N-group E. Here, we prove if E/SE (E) is E separated then E/SE (E) is a noetherian SEI-N-group under some conditions.