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Modules and Ideals

  1. Feb 12, 2009 #1
    General question:

    Is there some relationship between vector spaces/modules and ideal of a ring? In both vector spaces/modules and ideals, we have closure under addition and also it "swallows" elements from the field and ring, respectively.
     
  2. jcsd
  3. Feb 14, 2009 #2

    Tom Mattson

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    Hmmm...The only answer I can think of off the top of my head is that every ideal of a ring R is also a submodule of R. That's not too profound though, as every ring R is a module over itself.
     
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