Definition 13.15.3. In Situation 13.15.1.

The

*right derived functors of $F$*are the partial functors $RF$ associated to cases (1) and (2) of Situation 13.15.1.The

*left derived functors of $F$*are the partial functors $LF$ associated to cases (3) and (4) of Situation 13.15.1.An object $A$ of $\mathcal{A}$ is said to be

*right acyclic for $F$*, or*acyclic for $RF$*if $A[0]$ computes $RF$.An object $A$ of $\mathcal{A}$ is said to be

*left acyclic for $F$*, or*acyclic for $LF$*if $A[0]$ computes $LF$.

## Comments (2)

Comment #2066 by Hu Fei on

Comment #2094 by Johan on

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