We are generalizing the concept of quasi-morphic rings
to modules. An R-module M is called quasi-morphic if for each
f \in End(M_R) there exist g,h\in End(M_R) such that Imf = Kerg
and Kerf = Imh. A morphic notion for modules is also obtained
by setting g = h in the above denition. We state these concepts
in a category and showing that the (quasi-)morphic is a morita
invariant property, the result of [3, Theorem 20]is generalized.