Remark (3)

Tag 04L7, permanent. Cite it as [Bourbaki, Tag 04L7].

Commutative Algebra, chapter IV, § 2. Primary decomposition

This corollary can also be deduced from the fact that $\operatorname{Spec}(A)$ is finite and discrete and Chapter 11, § 4, no. 3, Proposition 15.

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

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