Bourbaki

Corollary 1

Tag 046L, permanent. Cite it as [Bourbaki, Tag 046L].

Commutative Algebra, chapter II, § 2. Rings and modules of fractions

The radical of an ideal aa in a ring AA is the intersection of the prime ideals containing aa and it is also the intersection of the minimal elements of this set of prime ideals.

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

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Cites

Nothing.

Transcribed from the printed volume. Not translated.