Implication details
Claim: If a category has cokernel pairs and is retract-trivial, then it is right cancellative.
Proof: This follows from the dual implication.
This implication has a dual.
Show 21 categories using this implication
- delooping of the additive monoid of ordinal numbers
- category of finite sets and injections
- category of filtered vector spaces
- category of fields
- category of fields of characteristic zero
- category of Jónsson-Tarski algebras
- category of M-sets
- partially ordered set of extended natural numbers
- category of left modules over a ring
- category of left modules over a division ring
- category of sets
- category of pointed sets
- category of large families of sets which are mostly singletons
- category of torsion-free abelian groups
- category of vector spaces
- category of Z-sets
- forked commutative square
- category of graded modules over a graded ring
- category of simplicial sets
- walking fork
- walking idempotent