Implication Details
Claim: If a category has cokernels and has kernels and is preadditive, then it has coquotients of cocongruences.
Proof: This follows from the dual implication.
This implication has a dual.
Show 14 categories using this implication
- category of abelian groups
- category of finitely generated abelian groups
- category of filtered vector spaces
- category of finite abelian groups
- category of finite-dimensional vector spaces
- 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 left modules over a ring
- category of left modules over a division ring
- category of left modules over a non-semisimple ring
- category of abelian sheaves
- category of vector spaces
- category of countable-dimensional vector spaces