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![abstract algebra - How to prove that as an $R$-module, $\mathbb{C}^n$ is finitely generated iff $R=\mathbb{C}[x]$. - Mathematics Stack Exchange](https://i.stack.imgur.com/xxHJE.png "abstract algebra - How to prove that as an $R$-module, $\mathbb{C}^n$ is finitely generated iff $R=\mathbb{C}[x]$. - Mathematics Stack Exchange")
abstract algebra - How to prove that as an $R$-module, $\mathbb{C}^n$ is finitely generated iff $R=\mathbb{C}[x]$. - Mathematics Stack Exchange
Summaries, April 12 and 14 The proposition at the end of the last class asserts that a submodule of a free module V of rank m is
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