Lemma 22.26.9. Let \varphi : (A, \text{d}) \to (E, \text{d}) be a homomorphism of differential graded algebras. Then \varphi induces a functor of differential graded categories
F : \text{Mod}^{dg}_{(E, \text{d})} \longrightarrow \text{Mod}^{dg}_{(A, \text{d})}
of Example 22.26.8 inducing obvious restriction functors on the categories of differential graded modules and homotopy categories.
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