Lemma 22.19.1 (09K2)—The Stacks project

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Table of contents
Part 1: Preliminaries
Chapter 22: Differential Graded Algebra
Section 22.19: Injective modules and differential graded algebras
Lemma 22.19.1 (cite)

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Lemma 22.19.1. Let $(A, \text{d})$ be a differential graded algebra. Let $I \to M$ be an injective homomorphism of differential graded $A$ -modules. If $I$ is graded injective, then $I \to M$ is an admissible monomorphism.

Proof. This is immediate from the definitions. $\square$

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