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 $A$.

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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