Definition 23.6.5. Let $R$ be a ring. Let $A = \bigoplus _{d \geq 0} A_ d$ be a differential graded $R$-algebra which is strictly graded commutative. A divided power structure $\gamma $ on $A$ is *compatible with the differential graded structure* if $\text{d}(\gamma _ n(x)) = \text{d}(x) \gamma _{n - 1}(x)$ for all $x \in A_{even, +}$.

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