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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