Course Description : | Review of basics of rings and ideals, nilpotents and idempotents in rings, R-modules, products and sums of R-modules, exact sequences and split exact sequences, simple and semisimple R-modules, essential and small submodules, the ring of endomorphisms of an R-modules, projective and injective modules, regular rings, the radical and socle of an R-module, Noetherian and Artinian R-modules. |