two equal range operators on hilbert c*-modules

In this paper, number of properties, involving invertibility, existence of moorepenrose inverse and etc for modular operators with the same ranges on hilbert c*-modules  are presented. natural decompositions of operators with closed range enable us to find some relations of the product of operators with moore-penrose inverses under the condition that they have  the same ranges  in hilbert c*-modules. the triple reverse order law and the mixed reverse order law in the special cases are also given. moreover, the range property and moorepenrose inverse are illustrated.