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On the Cohomology Sequence in a Semiabelian Category

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Abstract

In a semiabelian category, a strictly exact sequence 0→A→B→C→0 of cochain complexes gives rise to the cohomology sequence ...→H n(A) →H n(B)→ H n(C)→ H n+1(A) →.... We study conditions for exactness of the homology sequence at a given term.

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Authors and Affiliations

  1. Novosibirsk State University, Russia

    N. V. Glotko

  2. Sobolev Institute of Mathematics, Novosibirsk

    V. I. Kuz'minov

Authors
  1. N. V. Glotko
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  2. V. I. Kuz'minov
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Glotko, N.V., Kuz'minov, V.I. On the Cohomology Sequence in a Semiabelian Category. Siberian Mathematical Journal 43, 28–35 (2002). https://doi.org/10.1023/A:1013864219182

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  • DOI: https://doi.org/10.1023/A:1013864219182

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