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[M,N]≅ [M,R] ⊗ N for E-infinity modules

Let $\texttt{R}$ be an $\texttt{E}$-infinity ring and let $\texttt{M,N}$ be $\texttt{E}$-infinity modules. Under what conditions do we have $$ \texttt{[M, N] ≅ [M,R] ⊗ N}$$ Under ordinary ...