Comparison of functors

Selected: free group functor, monoid ring functor. Choose different functors.

Property	$F_{\Grp}$	$\IZ[-]$
cocontinuous
cofinitary
comonadic
conservative
continuous
equivalence
essentially injective
essentially surjective
exact
faithful
finitary
full
left adjoint
left exact
left-invertible
monadic
preserves coequalizers
preserves coproducts
preserves coreflexive equalizers
preserves epimorphisms
preserves equalizers
preserves finite coproducts
preserves finite products
preserves initial objects
preserves monomorphisms
preserves products
preserves reflexive coequalizers
preserves terminal objects
representable
right adjoint
right exact