Corollary 20.2.4 (DGAs as derived algebras). The lax symmetric monoidal localization of Proposition 20.2.2 induces functors \[ \Alg (\Ch (R))\longrightarrow \Alg (\D (R)), \qquad \CAlg (\Ch (R))\longrightarrow \CAlg (\D (R)). \]
Proof. Lax symmetric monoidal functors preserve associative and commutative algebra objects. □
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