Implication Details
Claim: If a category has an extremal generator and is self-dual, then it has an extremal cogenerator.
Proof: This holds by self-duality.
Show 11 categories using this implication
- 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 finitely generated free abelian groups
- category of finitely generated free modules over Z x Z
- category of finitely generated projective modules over the ring of dual numbers
- walking fork
- walking morphism
- walking parallel pair
- walking splitting