• Chain Complexes and Exact Sequences

  DOI:DOI:18.A003.aarf.J14I01.010012

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Jai Bhagwan

Abstract:
We can characterize chain complexes to be a series of abelian groups with boundary operators connecting them. The homology groups are derived from them, and chain maps from complexes result in homomorphism between the homology groups of them. Exact sequences, crucial in this context, are chain complexes characterized by the condition that the null space of each transformation coincides with the range of the preceding one.