Remark 1

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

Commutative Algebra, chapter IX, § 1. Vecteurs de Witt

Let A be a field of characteristic p. One can now prove that the ring W(A) is noetherian if and only if A is perfect (p. 43, Exercise 9).

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

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