Let $R$ be a commutative ring with unity, let $M$ be an $R$-module and $N$ be a submodule of $M$.

Define $Ann_R(N)=\{r\in R:rn=0\; \text{for all n}\in N\}$

$Ann_R(N)$ is called the annihilator of $N$.

Which of the following statements is NOT true in general?

Select **ALL** that apply.