Implication Details
Assumptions: preadditive
Conclusions: locally essentially small, zero morphisms
Reason: This is trivial.
Show 33 categories using this implication
- empty category
- discrete category on two objects
- category of finite sets and bijections
- delooping of an infinite countable group
- delooping of a non-trivial finite group
- delooping of the additive monoid of natural numbers
- delooping of the additive monoid of ordinal numbers
- simplex category
- category of finite sets and injections
- category of finite sets and surjections
- category of finite ordered sets
- category of finite sets
- category of fields
- category of free abelian groups
- category of Jónsson-Tarski algebras
- poset of extended natural numbers
- category of sets with finite-to-one maps
- category of pairs of sets
- category of combinatorial species
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of Z-functors
- proset of integers w.r.t. divisibility
- poset [0,1]
- walking commutative square
- walking composable pair
- walking coreflexive pair
- walking fork
- walking idempotent
- walking morphism
- walking parallel pair
- walking span
- walking splitting