modules is direct sum of simple submodule all of which are isomorphic to simple module

I'm looking for an article or source that deals with modules with this property:

$M$ is $R$-module which is direct sum of simple submodules all of which are isomorphic to simple module. I want to know more about this module and their properties.

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Such a module is called semisimple. – Zhen Lin Aug 29 '12 at 11:49
I know this module is semisimple but I want to use this fact:all simple submodue is isomorphic. – Babak Miraftab Aug 29 '12 at 12:07
A bit of context would help. – Julian Kuelshammer Aug 29 '12 at 12:37

Well in basic Wedderburn theory, given an $R$ module $M$, you call the sum of all simple submodules of $M$ which are isomorphic to a simple $R$ module $S$ a "homogeneous component of $M$".
I suppose one property you could draw from this is that their endomorphism rings are full linear rings over a division ring. (The division ring being the division ring of endomorphisms of $S$, which is common to all of the modules.)