Implication Details
Claim: If a category is right cancellative, then it has coreflexive equalizers and has effective cocongruences and has effective congruences and has reflexive coequalizers.
Proof: This follows from the dual implication.
Show 20 categories using this implication
- category of algebras
- category of finite sets and surjections
- category of locally ringed spaces
- category of measurable spaces
- category of metric spaces with continuous maps
- category of metric spaces with non-expansive maps
- category of metric spaces with ∞ allowed
- category of non-empty sets
- category of pointed topological spaces
- category of preordered sets
- category of pseudo-metric spaces with non-expansive maps
- category of rings
- category of rngs
- category of schemes
- category of sets and relations
- category of sets with finite-to-one maps
- category of smooth manifolds
- category of topological spaces
- simplex category
- walking coreflexive pair