From Wikipedia, the free encyclopedia
In
mathematics, in the field of
homological algebra, given an
abelian category
having enough injectives and an additive (covariant)
functor
- ,
an acyclic object with respect to , or simply an -acyclic object, is an object in such that
- for all ,
where are the
right derived functors of
.
[1]
References
-
^ Caenepeel, Stefaan (1998). Brauer groups, Hopf algebras and Galois theory. Monographs in Mathematics. Vol. 4. Dordrecht: Kluwer Academic Publishers. p. 454.
ISBN
1-4020-0346-3.
Zbl
0898.16001.