Lemma 10.37.2 (034L)—The Stacks project

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Table of contents
Part 1: Preliminaries
Chapter 10: Commutative Algebra
Section 10.37: Normal rings
Lemma 10.37.2 (cite)

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Lemma 10.37.2. Let $R \to S$ be a ring map. If $S$ is a normal domain, then the integral closure of $R$ in $S$ is a normal domain.

Proof. Omitted. $\square$

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