On The Nilradical
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On The Nilradical
Let $\mathbb{K}$ be a field and let $A$ be a finitely generated $ \mathbb{K} $-algebra. Show that the nilradical $ \sqrt{0} $ of $A$ is the intersection of the maximal ideals of $A$ (which is the Jacobson radical $ \mathfrak{R}(A) $ of $A$).
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