Are the derived functors of an additive functor additive?

Question

Are the derived functors of an additive functor additive? Does this follows formally from the definition?

score 1 · Answer 1 · answered Jun 09 '16 at 17:55

1

Yes, by definition the derived functor must be a functor of triangulated categories which verifies a certain universal property.

But by definition a functor of triangulated category is additive.

answered Jun 09 '16 at 17:55

C. Dubussy

1 Answers1