On pseudo semi-projective modules

A right R-module M is called semi-projective if, for any submodule N of M, every epimorphism p: M \rightarrow N and every homomorphism a: M \rightarrow N, there exists a homomorphism b: M \rightarrow M such that p b = a (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.

On pseudo semi-projective modules

A right R-module M is called semi-projective if, for any submodule N of M, every epimorphism p: M \rightarrow N and every homomorphism a: M \rightarrow N, there exists a homomorphism b: M \rightarrow M such that p b = a (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.

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