Remark 2
Tag 0CLA, permanent. Cite it as [Bourbaki, Tag 0CLA].
Commutative Algebra, chapter VIII, § 2. Dimension des algèbres
The existence of a B-module N faithfully flat over A implies the injectivity of ρ (I, § 3, No. 5, prop. 8), and the surjectivity of the mapping “ρ : Spec(B) → Spec(A) (II, § 2, No. 5, cor. 4 to prop. 11).
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
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