Lemma 15.14.2 (0DCM)—The Stacks project

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Table of contents
Part 1: Preliminaries
Chapter 15: More on Algebra
Section 15.14: Absolute integral closure
Lemma 15.14.2 (cite)

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Lemma 15.14.2. Let $A$ be a ring. The following are equivalent

$A$ is absolutely integrally closed, and
any monic $f \in A[T]$ has a root in $A$ .

Proof. Omitted. $\square$

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