# Finite extensions of noetherian local rings are semi-local

Let $R$ be a ring and let $S$ be a noetherian local subring of $R$. If $R$ is a finitely generated $S$-module, why $R$ is semi-local ring?

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Your question follows easily from math.stackexchange.com/questions/270428/…. –  user121097 Jan 22 at 16:05