Coimage
of the domain by the kernel. The coimage is canonically isomorphic to the image by the first isomorphism theorem, when that theorem applies.
In algebra, the coimage of a homomorphism
is the quotient
More generally, in category theory, the coimage of a morphism is the dual notion of the image of a morphism. If , then a coimage of (if it exists) is an epimorphism such that
- there is a map with ,
- for any epimorphism for which there is a map with , there is a unique map such that both and
See also
References
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