Let S = End(MR) where M is considered as an S-R-bimodule SMR. Show: (a) Let x EM, let xR be simple and let xR be contained in an injective submodule of MR. Then Sx is a simple left S-module. (b) Let x, y EM, xR =yR and let xR be contained in an injective submodule of Mr. Then Sx is isomorphic to a submodule of Sy. (c) Let x, y EM, XR =yR and as well let XR and yR be contained in injective submodules of M. Then it follows that I(Sx)=I(Sy). Let S = End(MR) where M is considered as an S-R-bimodule SMR. Show: (a) Let x EM, let xR be simple and let xR be contained in an injective submodule of MR. Then Sx is a simple left S-module. (b) Let x, y EM, xR =yR and let xR be contained in an injective submodule of Mr. Then Sx is isomorphic to a submodule of Sy. (c) Let x, y EM, XR =yR and as well let XR and yR be contained in injective submodules of M. Then it follows that I(Sx)=I(Sy)