Implication Details
Claim: If a category has cokernel pairs and has coquotients of cocongruences, then it has equalizers of cokernel pairs.
Proof: This follows from the dual implication.
This implication has a dual.
Show 50 categories using this implication
- empty category
- discrete category on two objects
- category of large families of abelian groups
- category of algebras
- category of finite sets and bijections
- delooping of a group
- delooping of an infinite countable group
- delooping of a non-trivial finite group
- delooping of an infinite uncountable group
- delooping of the additive monoid of natural numbers
- category of sets equipped with an irreflexive binary relation
- category of sets equipped with a symmetric irreflexive binary relation
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of small categories
- category of F(I)-sets
- category of finite sets and surjections
- category of finite sets of even cardinality
- category of finite sets of odd cardinality
- category of finite sets of cardinality a power of 3
- category of finitely generated free modules over Z x Z
- category of groups
- category of countable groups
- category of Hausdorff spaces
- category of locally ringed spaces
- category of metric spaces with continuous maps
- category of metric spaces with ∞ allowed
- category of monoids
- category of partially ordered sets without isolated points
- category of quivers with finite components
- category of sets and relations
- category of rings
- category of rngs
- category of semigroups
- category of connected sequences of sets
- category of sets and bijections
- discrete category of sets
- category of large families of sets
- category of large families of sets and bijections
- category of large families of sets which are mostly singletons
- category of sets with finite-to-one maps
- category of empty-or-finite pairs of sets
- category of torsion abelian groups
- category of long transfinite sequences of abelian groups
- category of uniform spaces
- cocompletion of a discrete–pair join
- walking idempotent
- walking parallel pair
- walking span