TY - BOOK AU - Yasser Fathi Ibrahim Abdelwahab AU - Ismail Abdelrahman Amin , AU - Mohamed Fouad Yousif , TI - On projective modules and quasi-frobenius rings / PY - 2012/// CY - Cairo : PB - Yasser Fathi Ibrahim Abdelwahab , KW - Injective and projective modules KW - Rad-projective and strongly rad-projective modules KW - Soc-injective modules N1 - Thesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics; Issued also as CD N2 - Injective modules and their dual projective modules play a central role in the theory of rings and modules. Both notions are used to characterize semisimple artinian rings. a class of rings that is easily described in the literature as direct sums of matrix rings over division rings. While, a result of eckmann and schopf asserts that, every right R-module M can be embedded in an injective envelope (hull) of M, the situation is different when it comes to projective modules ER -