Prove that R is a finitely generated S-module

[Dragonfall]

Homework Statement

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

The Attempt at a Solution

Not sure where to start.

 

[Dragonfall]

Does it have to do with presentation matrices?

 

[HallsofIvy]

I would say it has a lot to do with the DEFINITION of "finitely presented module"! How is that defined?

 

[Dragonfall]

I got it. It seemed a lot harder than it is.