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## Finite Algebraic Extension

Groups, Rings, Domains, Modules, etc, Galois theory
Tsakanikas Nickos
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### Finite Algebraic Extension

Let $\mathbb{K}$ be a field. If $A$ is a finitely generated $\mathbb{K}$-algebra and if $\mathfrak{m}$ is a maximal ideal of $A$, then show that $A/\mathfrak{m}$ is a finite algebraic extension of $\mathbb{K}$.