Coimage

In algebra, the coimage of a homomorphism f: A → B is the quotient coim f = A/ker f of domain and kernel. The coimage is canonically isomorphic to the image by the first isomorphism theorem, when that theorem applies. More generally, in category theory, the coimage of a morphism is the dual notion of the image of a morphism. If f : X → Y, then a coimage of f (if it exists) is an epimorphism c : X → C such that

Coimage

In algebra, the coimage of a homomorphism f: A → B is the quotient coim f = A/ker f of domain and kernel. The coimage is canonically isomorphic to the image by the first isomorphism theorem, when that theorem applies. More generally, in category theory, the coimage of a morphism is the dual notion of the image of a morphism. If f : X → Y, then a coimage of f (if it exists) is an epimorphism c : X → C such that