Bourbaki

Remark 1

Tag 0CL9, permanent. Cite it as [Bourbaki, Tag 0CL9].

Commutative Algebra, chapter VIII, § 2. Dimension des algèbres

The condition (PM) is satisfied when there exists a finitely generated B-module, faithfully flat over A and with support equal to Spec(B). This is the case, in particular, if the A-module B is faithfully flat.

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

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