Making use of the research on projective module, this paper constructs CEprojective modules, the dual modules of CEinjective modules, and gives some properties of CEprojective 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 CEprojective modules, if and only if F(RM)is CEprojective modules;(2) CEprojective dimension of M on ring R and CEprojective dimension F(RM)on ring S are equal, l.CEpd(RM)=l.CEpd(SF(RM))