Bourbaki

Remark

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

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

In § 4, no. 3, Corollary 3 to Proposition 14, we shall show that in a Noetherian ring the set of minimal prime ideals is finite; moreover we shall see later that every decreasing sequence of prime ideals in a Noetherian ring is stationary.

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

Cited by

Nothing.

Cites

Transcribed from the printed volume. Not translated.