In this paper, it is shown that any non-M-cosingular -supplemented module M is (D3) if and only if M has the summand intersection property. Let N [M ] be any module such that Z M(N ) has a coclosure in N. Then we prove that N is (completely) -supplemented if and only if N = Z 2 M(N ) K for some submodule K of N such that Z 2 M(N ) and K both are (completely) -supplemented. Key words pseudo projective module