Remark (1)

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

Commutative Algebra, chapter V, § 2. The lift of prime ideals

If $A'$ is Noetherian, it follows from (i) and (ii) that $(q'_j)_{1 \leq j \leq n}$ is the unique primary decomposition of $mA'$ (Chapter IV, § 2, no. 3).

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

Cited by

Nothing.

Cites

Chapter IV, § 2, no. 3