Corollary 2

Tag 0468, permanent. Cite it as [Bourbaki, Tag 0468].

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

If M is a Noetherian (resp. Artinian) A-module, S^{-1}M is a Noetherian (resp. Artinian) S^{-1}A-module. In particular, if the ring A is Noetherian (resp. Artinian), so is the ring S^{-1}A.

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

Cited by

Proposition 12, § 3
Corollary 5, § 3
Proposition 7, § 1

Cites

Nothing.