Semisimple rings with a unique maximal ideals

[mahler1]

Homework Statement

Determine all semisimple rings with a unique maximal ideal.

The Attempt at a Solution

If I call $I$ to the unique maximal ideal of $R$, then $I$ can be seen as a simple $R$-submodule, by hypothesis, there exists $I' \subset R$, $R-$submodule such that $R=I \bigoplus I'$. I got stuck at this point, any suggestions would be appreciated.[/B]

 

[Greg Bernhardt]

Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?