Lemma 36.3.7. If $f : X \to Y$ is a morphism of affine schemes given by the ring map $A \to B$, then the diagram

\[ \xymatrix{ D(B) \ar[d] \ar[r] & D_\mathit{QCoh}(\mathcal{O}_ X) \ar[d]^{Rf_*} \\ D(A) \ar[r] & D_\mathit{QCoh}(\mathcal{O}_ Y) } \]

commutes.

## Comments (2)

Comment #4289 by David Hansen on

Comment #4454 by Johan on