Implication Details
Assumptions: biproducts, finitely complete
Conclusions: unital
Proof: For all objects the morphism is an isomorphism, hence a strong epimorphism.
Show 26 categories using this implication
- category of abelian groups
- category of abelian sheaves
- category of Banach spaces with linear contractions
- category of commutative monoids
- category of countable sets
- category of finite abelian groups
- category of finite-dimensional vector spaces [countable field]
- category of finite-dimensional vector spaces [finite field]
- category of finite-dimensional vector spaces [uncountable field]
- category of finitely generated abelian groups
- category of free abelian groups
- category of left modules over a division ring
- category of left modules over a ring
- category of M-sets
- category of metric spaces with continuous maps
- category of metric spaces with ∞ allowed
- category of pointed sets
- category of pointed topological spaces
- category of posets
- category of prosets
- category of sets
- category of simplicial sets
- category of small categories
- category of vector spaces
- trivial category
- walking isomorphism