Semisimple modules and facts on Z(M), Z_2(M) and Soc(M)

Abstract

In this work, we show that the set of (isotopical) homogeneous components of semisimple modules is exactly the set of eliminator submodules. Also we show that every semisimple module M is EM-semi-clever and
we show that M = Z(M) + Z(M)*.