projective modules relative to a semiradical property

In this paper, we introduce a generalization of the projective modules. We show that for a module M=M_۱ \bigoplus M_۲. If M_۲ is s.p-M_۱-projective, then for every s.p-closed submodule A of M with M=M_۱+A, there exists a submodule K of A such that M=M_۱ \bigoplus K.

Keywords:

s.p- closed submodules , projective module , s.p- projective module