Do functors preserve monomorphisms and epimorphisms? The functors reflect monomorphisms and epimorphisms?
The functor that goes from category $2$ that has two objects and three arrows to the $\mathbb{Z}$-Mod category does not preserve monomorphisms or epimorphisms.
Are there any other examples that do not preserve monomorphisms and epimorphisms?
Is there an example that does not reflect monomorphisms and epimorphisms?