Let $N$ be a submodule of the module $M$. Suppose $M/N$ and $N$ are semi-simple. Does it follow that $M$ is semi-simple?
I think the answer is yes but I am not sure how to prove it. Any help would be appreciated.
Let $N$ be a submodule of the module $M$. Suppose $M/N$ and $N$ are semi-simple. Does it follow that $M$ is semi-simple?
I think the answer is yes but I am not sure how to prove it. Any help would be appreciated.