Exactness of functors for change of rings. #
In this file we provide exactness of restrictScalars for general universe level using it preserves
short exact sequences.
Note : previously exactness of ModuleCat.restrictScalars is synthesized via being adjoint functor,
however this needs the universe level to be some max u v, where u is the universe level
of the ring.
theorem ModuleCat.restrictScalars_map_exact {R : Type u} [Ring R] {R' : Type u'} [Ring R'] (f : R →+* R') (S : CategoryTheory.ShortComplex (ModuleCat R')) (h : S.Exact) :
(S.map (restrictScalars f)).Exact