multiplication by 2
The multiplication map in provides an example of a monomorphism in an additive category which is not regular (and hence, not normal). Thus, it provides a proof that is not abelian.
Satisfied properties
Assigned properties
- is a monomorphism
- is an epimorphism
Deduced properties
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Unsatisfied properties
Assigned properties
- is not an isomorphism
- is not a zero morphism
Deduced properties*
- is not constant
- is not a split monomorphism
- is not an extremal monomorphism
- is not coconstant
- is not a split epimorphism
- is not an extremal epimorphism
- is not a strong monomorphism
- is not a strong epimorphism
- is not a strict monomorphism
- is not a strict epimorphism
- is not a regular monomorphism
- is not a regular epimorphism
- is not an effective monomorphism
- is not a normal monomorphism
- is not an effective epimorphism
- is not a normal epimorphism
*This also uses the deduced satisfied properties.
Unknown properties
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