Lemma 10.36.15 (02JM)—The Stacks project

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Table of contents
Part 1: Preliminaries
Chapter 10: Commutative Algebra
Section 10.36: Finite and integral ring extensions
Lemma 10.36.15 (cite)

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Lemma 10.36.15. Let $A \to B \to C$ be ring maps.

If $A \to C$ is integral so is $B \to C$ .
If $A \to C$ is finite so is $B \to C$ .

Proof. Omitted. $\square$

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