On pseudo semi-projective modules

A right R-module M is called semi-projective if, for any submodule N of M, every epimorphism π : M → N and every homomorphism α : M → N , there exists a homomorphism β : M → M such that πβ = α (see [11]). In this paper, we consider some generalizations of semi-projective module, that is quasi pseudo principally projective module. Some properties of this class of module are studied.