Definition:Divisible Module

Definition
Let $R$ be a ring.

Let $M$ be a left $R$-module.

Let $M$ be such that:
 * for all $m \in M$
 * for all non zero divisors $r \in R$
 * there exists some $m' \in M$ such that $r m' = m$.

Then $M$ is (a) divisible (module).