Example 4

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

Commutative Algebra, chapter IV, § 2. Primary decomposition

In a principal ideal domain $A$ , the primary ideals are $(0)$ and the ideals of the form $Ap^n$ , where $p$ is an extremal element and $n \geq 1$ ; this follows immediately from Example 3.

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

Cited by

Example, § 2
Proposition 8, § 1

Cites

Example 3