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Prove that R is a finitely generated S-module

  • Thread starter Dragonfall
  • Start date
  • #1
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Homework Statement



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.

The Attempt at a Solution



Not sure where to start.
 

Answers and Replies

  • #2
1,030
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Does it have to do with presentation matrices?
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
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I would say it has a lot to do with the DEFINITION of "finitely presented module"! How is that defined?
 
  • #4
1,030
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I got it. It seemed a lot harder than it is.
 

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