Proposition 47.15.11 (0A7K)—The Stacks project

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Part 3: Topics in Scheme Theory
Chapter 47: Dualizing Complexes
Section 47.15: Dualizing complexes
Proposition 47.15.11 (cite)

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Proposition 47.15.11. Let $A$ be a Noetherian ring which has a dualizing complex. Then any $A$-algebra essentially of finite type over $A$ has a dualizing complex.

Proof. This follows from a combination of Lemmas 47.15.6, 47.15.9, and 47.15.10. $\square$

Comments (2)

Comment #1693 by Sándor Kovács on November 14, 2015 at 22:07

Typo: "dualixing" should be "dualizing"

Comment #1741 by Johan on December 15, 2015 at 18:49

Thanks, fixed here.

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