Remark 5
Tag 0CKF, permanent. Cite it as [Bourbaki, Tag 0CKF].
Commutative Algebra, chapter VIII, § 1. Dimension de Krull d’un anneau
We shall see in § 2, No. 4, that every finitely generated algebra over a field is a catenary ring. There exist noetherian local rings which are not catenary (p. 83, Exercise 16).
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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