acyclic object

and

**nonabelian homological algebra**

For $F : \mathcal{A} \to \mathcal{B}$ a left exact additive functor between abelian categories, an object $A \in \mathcal{A}$ is $F$-**acyclic** if the right derived functor of $F$ has no cohomology on $A$ in positive degree

$(p \gt 0) \Rightarrow R^p F A = 0
\,.$

Created on November 23, 2010 09:58:43
by Urs Schreiber
(87.212.203.135)