SEMISIMPLE VERSUS SEMI-ENDOSIMPLE

A semi-endosimple module is one lacks proper fully invariant essential submodules. Weile semi-endosimple modules need not semisimple, we obtion precise conditions that make a semi-endosimple module into a semisimple module. A corollary of our main result gives several new characterizations of semisimple Artinian rings.

Keywords:

Boanded module , endomorphism rings , quasi-semiprime , semiendosimple