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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.

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- Thread starter Dragonfall
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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.

Not sure where to start.

- #2

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Does it have to do with presentation matrices?

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HallsofIvy

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

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