Corollary 2

Tag 0DC0, permanent. Cite it as [Bourbaki, Tag 0DC0].

Commutative Algebra, chapter X, § 9. Modules dualisants

If a noetherian ring $A$ has a dualizing module, every finitely generated $A$ -algebra which is a Macaulay ring has a dualizing module.

This results from cor. 1 and the cor. of prop. 5.

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

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