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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
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![abstract algebra - Clarifications on proof of Hilbert's Theorem for finitely generated graded modules over $k[x_1,...,x_r]$ - Mathematics Stack Exchange](https://i.stack.imgur.com/jfVPQ.png "abstract algebra - Clarifications on proof of Hilbert's Theorem for finitely generated graded modules over $k[x_1,...,x_r]$ - Mathematics Stack Exchange")