Definition:Abelian Category/Definition 3

Definition

An abelian category is a pre-abelian category in which

for every morphism $f$, the canonical morphism from its coimage to its image $\map {\operatorname {coim} } f \to \Img f$ is an isomorphism.

Also see

• Equivalence of Definitions of Abelian Category

• Results about abelian categories can be found here.

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