Implication details
Claim: If a category is right cancellative and has zero morphisms, then it is thin.
Proof: This follows from the dual implication.
This implication has a dual.
Show 15 categories using this implication
- category of finitely generated abelian groups
- category of finite sets and surjections
- category of finite abelian groups
- category of finite groups
- 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 finitely generated free abelian groups
- category of finitely generated groups
- category of finitely generated projective modules over the ring of dual numbers
- category of countable-dimensional vector spaces
- category of large families of vector spaces which are mostly zero
- walking splitting