Implication details
Claim: If a category has kernels and is preadditive, then it has equalizers.
Proof: The equalizer of is the kernel of .
This implication has a dual.
Show 15 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 finitely generated free modules over Z x Z
- 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 vector spaces
- category of countable-dimensional vector spaces
- walking idempotent