Bourbaki

Definition 3

Tag 0D2Z, permanent. Cite it as [Bourbaki, Tag 0D2Z].

Commutative Algebra, chapter X, § 2. Modules et anneaux macaulayens

One says that a ring AA is Macaulay, or is a Macaulay ring, if it is noetherian and the A-module AA is Macaulay.

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

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