torsion functor
- notation: : →
- Source: category of abelian groups
- Target: category of abelian groups
- Related functors:
- nLab Link
This functor maps an abelian group to its torsion subgroup
Satisfied Properties
Assigned properties
Deduced properties
Unsatisfied Properties
Assigned properties
- is not essentially injective
- is not essentially surjective
- is not faithful
- is not full
- does not preserve epimorphisms
- does not preserve products
- is not representable
Deduced properties*
- is not an equivalence
- is not continuous
- is not cofinitary
- is not conservative
- is not left-invertible
- is not monadic
- is not right exact
- does not preserve coequalizers
- is not comonadic
- is not a right adjoint
- is not exact
- is not cocontinuous
- does not preserve reflexive coequalizers
- is not a left adjoint
*This also uses the deduced satisfied properties.
Unknown properties
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