Definition 2

Tag 0CYH, permanent. Cite it as [Bourbaki, Tag 0CYH].

Commutative Algebra, chapter IX, § 4. Fermeture intégrale d'un anneau local complet

A ring $A$ is said to be a Nagata ring if it is noetherian and if, for every prime ideal $p$ of $A$ , the noetherian integral ring $A/p$ is Japanese (No. 1, def. 1).

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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