Implication Details
Assumptions: full on isomorphisms
Conclusions: essentially injective
Proof: This is trivial.
Show 22 functors using this implication
- abelianization functor for groups
- binary coproduct functor on sets
- binary product functor on sets
- countable copower functor on sets
- enveloping group functor
- forgetful functor for groups
- forgetful functor for rings
- forgetful functor for topological spaces
- forgetful functor for vector spaces
- forgetful functor from groups to pointed sets
- forgetful functor from rings to monoids
- functor of continuous functions
- fundamental group functor
- group of units functor
- modulo p functor
- monoid ring functor
- p-torsion functor
- path components functor
- sequences functor on sets
- torsion functor
- trivial functor from the category of groups
- trivial functor from the category of sets