Implication Details
Claim: If a category has binary coproducts and has reflexive coequalizers, then it has coequalizers.
Proof: This follows from the dual implication.
Show 8 categories using this implication
- category of finite sets of even cardinality
- category of free abelian groups
- category of finitely generated free modules over Z x Z
- category of finitely generated projective modules over the ring of dual numbers
- category of sets and relations
- category of sets with finite-to-one maps
- category of non-empty sets
- walking idempotent