Lemma 28.7.7. Let $X$ be a locally Noetherian scheme. The following are equivalent:

$X$ is normal, and

$X$ is a disjoint union of integral normal schemes.

Lemma 28.7.7. Let $X$ be a locally Noetherian scheme. The following are equivalent:

$X$ is normal, and

$X$ is a disjoint union of integral normal schemes.

**Proof.**
Omitted. Hint: This is purely topological from Lemma 28.7.6.
$\square$

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## Comments (2)

Comment #276 by BB on

Comment #277 by Aise Johan de Jong on

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