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Math Help - Terminology for elements in modules

  1. #1
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    Terminology for elements in modules

    I am looking for an adjective for special elements in modules.

    Definition: Let R be a ring and M be an R-module.
    We say that v\in M is an ????? element if v=rw
    with w\in M and r\in R implies that r has to be a unit in R.

    What is the commonly used term ???? for this definition?

    In the lattice case R=\mathbb Z and M=\mathbb Z^N these are often called
    primitive vectors but this terminology does not seem to be common
    for general rings and modules.


    Thanks ---
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  2. #2
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    Quote Originally Posted by crwtom View Post
    I am looking for an adjective for special elements in modules.

    Definition: Let R be a ring and M be an R-module.
    We say that v\in M is an ????? element if v=rw
    with w\in M and r\in R implies that r has to be a unit in R.

    What is the commonly used term ???? for this definition?

    In the lattice case R=\mathbb Z and M=\mathbb Z^N these are often called
    primitive vectors but this terminology does not seem to be common
    for general rings and modules.


    Thanks ---
    why is the terminology important here? if you have a "math" question related to this, you can ask.
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