Implication Details
Assumptions: additive, finitely complete
Conclusions: Malcev
Proof: See Prop. 2.2.13. in Malcev, protomodular, homological and semi-abelian categories.
Show 30 categories using this implication
- category of abelian groups
- category of abelian sheaves
- category of Banach spaces with linear contractions
- category of commutative monoids
- category of compact Hausdorff spaces
- category of filtered vector spaces
- category of finite abelian groups
- category of finite sets
- 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 abelian groups
- category of free abelian groups
- category of Hausdorff spaces
- category of left modules over a division ring
- category of left modules over a ring
- category of locally ringed spaces
- category of metric spaces with continuous maps
- category of metric spaces with non-expansive maps
- category of metric spaces with ∞ allowed
- category of monoids
- category of posets
- category of pseudo-metric spaces with non-expansive maps
- category of schemes
- category of semigroups
- category of small categories
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of vector spaces
- category of Z-functors