Lemma 28.13.3 (033U)—The Stacks project

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Table of contents
Part 2: Schemes
Chapter 28: Properties of Schemes
Section 28.13: Japanese and Nagata schemes
Lemma 28.13.3 (cite)

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Lemma 28.13.3. A Nagata scheme is locally Noetherian.

Proof. This is true because a Nagata ring is Noetherian by definition. $\square$

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