Corollary 1

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

Commutative Algebra, chapter IV, § 2. Primary decomposition

For every module of finite length $M$ over a Noetherian Zing $A$ , $\operatorname{Ass}(M) = \operatorname{Supp}(M)$ .

Every element of $\operatorname{Supp}(M)$ is then minimal in $\operatorname{Supp}(M)$ and the conclusion follows from $§ 1$ , no. 3, Corollary 1 to Proposition 7.

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

Cited by

Nothing.

Cites

Proposition 7