A widely used result of Wedderburn and Artin states that ``every left ideal of a ring $R$ is a direct summand of $R$ if and only if $R$ has a unique decomposition as a finite direct product of matrix rings over division rings quot;. Motivated by this, we call a module $M$ {\\it virtually semisimple} if every submodule of $M$ is isomorphic to a direct summand of $M$ and $M$ is called {\\it completely virtually semisimple} if every submodule of $M$ is virtually semisimple. We carry out a study of virtually semisimple modules and modules which are direct sums of nonzero indecomposable virtually semisimple modules. Our study provides several natural generalizations of the Wedderburn-Artin Theorem and an analogous to the کلیدواژه فارسی
