Definition:Abelian Category/Definition 3

From ProofWiki
Jump to navigation Jump to search

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

  • Results about abelian categories can be found here.