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Finite Algebraic Extension

Posted: Thu Oct 13, 2016 9:47 pm
by Tsakanikas Nickos
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 $\mathbb{K}$.