Implication Details
Claim: If a category is abelian, then it is coregular.
Proof: This follows from the dual implication.
Show 28 categories using this implication
- category of filtered vector spaces
- trivial category
- category of abelian groups
- category of finitely generated abelian groups
- category of algebras
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of cochain complexes of abelian groups
- category of finite abelian 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 monoids
- 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 rings
- category of rngs
- category of semigroups
- category of sequences of abelian groups
- category of abelian sheaves
- category of torsion abelian groups
- category of vector spaces
- category of graded abelian groups
- category of graded modules over a graded ring
- walking isomorphism