1. ## module notation

Hi. I'm trying to figure out what $M=Rm$ means in an assignment question (I won't post the question since its being marked). Some possibly relevant context:
$M$ is an $R$ module
$R$ is a PID
$\textrm{ann}_R(m) = (p)$ for some $p \in R$

Hi. I'm trying to figure out what $M=Rm$ means in an assignment question (I won't post the question since its being marked). Some possibly relevant context:
$M$ is an $R$ module.
it means $M,$ as $R$ module, is generated by $m \in M.$ in other words $M=Rm=\{rm: \ r \in R \}.$