Remark 22.30.2. Let $R$ be a ring. Let $(A, \text{d})$ and $(B, \text{d})$ be differential graded algebras over $R$. Let $N$ be a differential graded $(A, B)$-bimodule. Let $N'$ be a right differential graded $B$-module. Then for every $k \in \mathbf{Z}$ there is an isomorphism
\[ \mathop{\mathrm{Hom}}\nolimits _{\text{Mod}^{gr}_ B}(N, N')[k] \longrightarrow \mathop{\mathrm{Hom}}\nolimits _{\text{Mod}^{gr}_ B}(N, N'[k]) \]
of right differential graded $A$-modules defined without the intervention of signs, see More on Algebra, Section 15.72.
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