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Prove that R is a finitely generated S-module

  1. Feb 10, 2007 #1
    1. The problem statement, all variables and given/known data

    Let S be a subring of the ring R=[tex]\mathbb{C}[t][/tex] which properly contains [tex]\mathbb{C}[/tex]. Prove that R is a finitely generated S-module.

    3. The attempt at a solution

    Not sure where to start.
     
  2. jcsd
  3. Feb 11, 2007 #2
    Does it have to do with presentation matrices?
     
  4. Feb 11, 2007 #3

    HallsofIvy

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    I would say it has a lot to do with the DEFINITION of "finitely presented module"! How is that defined?
     
  5. Feb 11, 2007 #4
    I got it. It seemed a lot harder than it is.
     
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