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On the Cohomology Sequence in a Semiabelian Category
Authors:Glotko  N V  Kuz'minov  V I
Institution:(1) Novosibirsk State University, Russia;(2) Sobolev Institute of Mathematics, Novosibirsk
Abstract:In a semiabelian category, a strictly exact sequence 0rarrArarrBrarrCrarr0 of cochain complexes gives rise to the cohomology sequence ...rarrH n(A) rarrH n(B)rarr H n(C)rarr H n+1 (A) rarr.... We study conditions for exactness of the homology sequence at a given term.
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