If $B$ is a commutative ring and let $\mathcal{Q}_1,\ldots,\mathcal{Q}_n$ ideals relative primes.
Let $M$ be a $R$-module. I don't sure if this is true. Then
$$(\mathcal{Q}_1\cap\cdots \cap\mathcal{Q}_n)M \supseteq \mathcal{Q}_1M\cap \cdots \cap \mathcal{Q}_n M\ ?$$
i.e. $(\mathcal{Q}_1\cap\cdots \cap\mathcal{Q}_n)M =\mathcal{Q}_1M\cap \cdots \cap \mathcal{Q}_n M $.
Thank you all.