KnowraAbelian categoryLinked fromLinked fromThe 6 pages that link to Abelian category, each with the reason it gives.All 6Related 3Narrower topic 3Homological algebraRelated: Abelian categories provide a common setting for defining complexes and derived functors.CokernelNarrower topic: Its axioms ensure cokernels behave coherently alongside kernels and images.Snake lemmaNarrower topic: The lemma holds in abelian categories, not only for groups or modules.Five lemmaNarrower topic: The five lemma extends beyond groups to objects and maps in any abelian category.Hom functorRelated: Its morphism sets are abelian groups, so Hom functors take values in abelian groups.Nine lemmaRelated: The Nine lemma holds in abelian categories, where exactness and diagram arguments are well behaved.