Bourbaki

Corollary 1

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

Commutative Algebra, chapter IV, § 1. Prime ideals associated with a module

If M is a module over a Noetherian ring, then Ass⁡(M)⊂Supp⁡(M)\operatorname{Ass}(M) \subset \operatorname{Supp}(M) and these two sets have the same minimal elements.

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

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Cites

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Transcribed from the printed volume. Not translated.