identity map of a set
- Notation:
- Category: category of sets
- Related morphisms:
- nLab Link
Every object of a category has an identity morphism. In this case, we take a set and consider its identity morphism in .
Satisfied Properties
Assigned properties
- is an isomorphism
Deduced properties
- is an effective monomorphism
- is a split monomorphism
- is an effective epimorphism
- is a split epimorphism
- is a regular monomorphism
- is a regular epimorphism
- is a monomorphism
- is a strict monomorphism
- is an epimorphism
- is a strict epimorphism
- is a strong monomorphism
- is a strong epimorphism
Unsatisfied Properties
Assigned properties
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Deduced properties*
- is not a normal monomorphism
- is not a normal epimorphism
*This also uses the deduced satisfied properties.
Unknown properties
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