Bourbaki

Remark

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

Commutative Algebra, chapter VII, § 1. Krull domains

In the course of the above proof it has been proved that A:a=A:(A:(A:a))A : a = A : (A : (A : a)) for every ideal a∈I(A)a \in I(A), which is a special case of Set Theory, Chapter 111, § 1, no. 5, Proposition 2.

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

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Cites

Transcribed from the printed volume. Not translated.