Lemma 10.77.4 (065Q)—The Stacks project

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Table of contents
Part 1: Preliminaries
Chapter 10: Commutative Algebra
Section 10.77: Projective modules
Lemma 10.77.4 (cite)

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Lemma 10.77.4. A direct sum of projective modules is projective.

Proof. This is true by the characterization of projectives as direct summands of free modules in Lemma 10.77.2. $\square$

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