ON THE MIN-PROJECTIVE MODULES

Let R be a commutative ring. An R-module M is called minprojective if Ext1R(M,RI) = 0, for every simple ideal I. In this paper, we first give some results of min-projective R-modules on the some specific rings such as cotorsion rings, von Neumann regular rings and coherent rings. Then we investigate min-projective covers on universally min-projective rings. Finally, we deal with some characterizations of min-projective modules over a perfect ring.