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On projective modules and quasi-frobenius rings /

Yasser Fathi Ibrahim Abdelwahab

On projective modules and quasi-frobenius rings / أنماط من التشكيلات الاسقاطية و اشباه الحلقات الفروبينية Yasser Fathi Ibrahim Abdelwahab ; Supervised Ismail A. Amin , Mohamed F. Yousif - Cairo : Yasser Fathi Ibrahim Abdelwahab , 2012 - 144 P. ; 25cm

Thesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics

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



Injective and projective modules Rad-projective and strongly rad-projective modules Soc-injective modules