The Stacks project

Lemma 22.13.1. In the situation above, let $A$ be a differential graded $R$-algebra. To give a left $A$-module structure on $M$ is the same thing as giving a homomorphism $A \to E$ of differential graded $R$-algebras.

Proof. Proof omitted. Observe that no signs intervene in this correspondence. $\square$

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View Lemma 22.13.1 as pdf