Bourbaki

Remark (1)

Tag 053I, permanent. Cite it as [Bourbaki, Tag 053I].

Commutative Algebra, chapter VII, § 4. Modules over integrally closed Noetherian domains

The equivalent conditions of Proposition 9 mean also that Ass⁡(M)\operatorname{Ass}(M) contains no prime ideal of height ≤1\leq 1. They may also be interpreted by saying that Supp⁡(M)\operatorname{Supp}(M) is of codimension ≥2\geq 2 in Spec⁡(A)\operatorname{Spec}(A). \*

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

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Cites

Transcribed from the printed volume. Not translated.