embedding of A3 into S3
- Notation:
- Category: category of groups
- nLab Link
This is the inclusion . It serves as an example of a normal monomorphism which is not split.
Satisfied Properties
Assigned properties
- is a normal monomorphism
Deduced properties
- is a regular monomorphism
- is a monomorphism
- is a strict monomorphism
- is an effective monomorphism
- is a strong monomorphism
Unsatisfied Properties
Assigned properties
- is not a split monomorphism
Deduced properties*
- is not an isomorphism
- is not an epimorphism
- is not a strong epimorphism
- is not a regular epimorphism
- is not a strict epimorphism
- is not a split epimorphism
- is not an effective epimorphism
- is not a normal epimorphism
*This also uses the deduced satisfied properties.
Unknown properties
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