Definition 1

Tag 0CY1, permanent. Cite it as [Bourbaki, Tag 0CY1].

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

Let $A$ be a noetherian integral ring. One says that $A$ is Japanese if the integral closure of $A$ in every finite extension of its field of fractions is a finite $A$ -algebra.

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

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