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Show that M is an (A/I)-module. Find the submodules.

  1. Aug 23, 2008 #1
    Let A be a ring, I an ideal and M an A-module such that IM=0.
    Show that M has a natural structure as an A/I-module and vice versa.
    Furthermore show that in the situation above the submodules of M considered
    as an A-module or A/I-module are the same.
  2. jcsd
  3. Aug 23, 2008 #2


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    Staff Emeritus
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    Re: modules

    If you aren't going to work on the problem, then neither am I.
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