Definition: An $R$-module $M$ is called *locally Noetherian* if, any finitely generated submodule of $M$ is Noetherian.

Question: **Let $M$ be a locally Noetherian module. Then, either $M$ is uniform or it has a uniform direct summand?**

I don't have any idea about the existence or non-existence of above statement. Please guide me how to initiate.