Implication Details
Claim: If a category has coequalizers of kernel pairs, then it has kernel pairs.
Proof: This holds by definition.
Show 45 categories using this implication
- category of abelian groups
- category of finitely generated abelian groups
- category of Banach spaces with linear contractions
- category of commutative monoids
- category of cochain complexes of abelian groups
- category of compact Hausdorff spaces
- simplex category
- category of finite sets and surjections
- category of filtered vector spaces
- category of finite abelian groups
- category of finite groups
- category of finite ordered sets
- 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 free abelian groups
- category of groups
- category of countable groups
- category of smooth manifolds
- category of monoids
- partially ordered set of extended natural numbers
- 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 sets and relations
- category of rngs
- category of semigroups
- category of sequences of abelian groups
- category of pointed sets
- category of set functions and commutative squares
- category of countable sets
- category of pairs of sets
- category of abelian sheaves
- category of torsion-free abelian groups
- category of vector spaces
- category of Z-functors
- category of graded abelian groups
- category of graded modules over a graded ring
- category of simplicial sets
- walking composable pair
- walking coreflexive pair
- walking idempotent
- walking morphism
- walking splitting