Definition 13.31.1 (070H)—The Stacks project

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Definition 13.31.1. Let $\mathcal{A}$ be an abelian category. A complex $I^\bullet$ is K-injective if for every acyclic complex $M^\bullet$ we have $\mathop{\mathrm{Hom}}\nolimits _{K(\mathcal{A})}(M^\bullet , I^\bullet ) = 0$ .

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