Abstract:Making use of the research on projective module, this paper constructs CEprojective modules, the dual modules of CEinjective modules, and gives some properties of CEprojective modules and CE projective dimension. The results are as follow: Suppose an equivalent of modules categories functor F:RM→SM, and G is inverse functor of F, (1)M is CEprojective modules, if and only if F(RM)is CEprojective modules;(2) CEprojective dimension of M on ring R and CEprojective dimension F(RM)on ring S are equal, l.CEpd(RM)=l.CEpd(SF(RM))