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Thread: module notation

  1. #1
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    module notation

    Hi. I'm trying to figure out what $\displaystyle M=Rm$ means in an assignment question (I won't post the question since its being marked). Some possibly relevant context:
    $\displaystyle M$ is an $\displaystyle R $ module
    $\displaystyle R $ is a PID
    $\displaystyle \textrm{ann}_R(m) = (p)$ for some $\displaystyle p \in R$
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  2. #2
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    Quote Originally Posted by badgerigar View Post

    Hi. I'm trying to figure out what $\displaystyle M=Rm$ means in an assignment question (I won't post the question since its being marked). Some possibly relevant context:

    $\displaystyle M$ is an $\displaystyle R $ module.
    it means $\displaystyle M,$ as $\displaystyle R$ module, is generated by $\displaystyle m \in M.$ in other words $\displaystyle M=Rm=\{rm: \ r \in R \}.$
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