Lemma 29.44.4 (01WJ)—The Stacks project

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Table of contents
Part 2: Schemes
Chapter 29: Morphisms of Schemes
Section 29.44: Integral and finite morphisms
Lemma 29.44.4 (cite)

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Lemma 29.44.4. A finite morphism is integral. An integral morphism which is locally of finite type is finite.

Proof. See Algebra, Lemma 10.36.3 and Lemma 10.36.5. $\square$

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