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The Stacks project

Definition 24.26.4. Let $(\mathcal{C}, \mathcal{O})$ be a ringed site. Let $(\mathcal{A}, \text{d})$ be a sheaf of differential graded algebras on $(\mathcal{C}, \mathcal{O})$. Let $\text{Qis}$ be as in Lemma 24.26.3. The derived category of $(\mathcal{A}, \text{d})$ is the triangulated category

\[ D(\mathcal{A}, \text{d}) = \text{Qis}^{-1}K(\textit{Mod}(\mathcal{A}, \text{d})) \]

discussed in more detail above.


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