identity map of a group
Every object of a category has an identity morphism. In this case, we take a non-trivial group and consider its identity morphism in .
Satisfied Properties
Assigned properties
- is an isomorphism
Deduced properties
- is an effective monomorphism
- is a split monomorphism
- is a normal monomorphism
- is an effective epimorphism
- is a split epimorphism
- is a normal epimorphism
- is a regular monomorphism
- is a regular epimorphism
- is a strict monomorphism
- is a strict epimorphism
- is a strong monomorphism
- is a strong epimorphism
- is an extremal monomorphism
- is an extremal epimorphism
- is a monomorphism
- is an epimorphism
Unsatisfied Properties
Assigned properties
- is not constant
Deduced properties*
- is not a zero morphism
- is not coconstant
*This also uses the deduced satisfied properties.
Unknown properties
—