Remark

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

Commutative Algebra, chapter IV, § 2. Primary decomposition

Let $q$ be a p-primary submodule of an $A$ -module $N$ . If $N/Q$ is finitely generated, there exists an integer $k > 0$ such that $p^k N \subset Q$ by $§ 1$ , no. 4, Proposition 9.

Examples

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

Cited by

Nothing.

Cites

no. 4, Proposition 9