Lemma 31.4.4 (0BXG)—The Stacks project

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Table of contents
Part 2: Schemes
Chapter 31: Divisors
Section 31.4: Embedded points
Lemma 31.4.4 (cite)

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Lemma 31.4.4. Let $X$ be a locally Noetherian scheme of dimension $\leq 1$ . The following are equivalent

$X$ is Cohen-Macaulay, and
$X$ has no embedded points.

Proof. Follows from Lemma 31.4.3 and the definitions. $\square$

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