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Exact sequence
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{{short description|Sequence of homomorphisms such that each kernel equals the preceding image}} [[File:Illustration of an Exact Sequence of Groups.svg|thumb|Illustration of an exact sequence of [[Group (mathematics)|groups]] <math>G_i</math> using [[Euler diagram|Euler diagrams]].|alt=Illustration of an exact sequence of groups using Euler diagrams. Each group is represented by a circle, within which there is a subgroup that is simultaneously the range of the previous homomorphism and the kernel of the next one, because of the exact sequence condition.]] In [[mathematics]], an '''exact sequence''' is a sequence of [[morphisms]] between objects (for example, [[Group (mathematics)|groups]], [[Ring (mathematics)|rings]], [[Module (mathematics)|modules]], and, more generally, objects of an [[abelian category]]) such that the [[Image (mathematics)|image]] of one morphism equals the [[kernel (algebra)|kernel]] of the next.
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