• Title/Summary/Keyword: chain (U, U′)-homotopy

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A GENERALIZATION OF HOMOLOGICAL ALGEBRA

  • Davvaz, B.;Shabani-Solt, H.
    • Journal of the Korean Mathematical Society
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    • v.39 no.6
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    • pp.881-898
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    • 2002
  • Our aim in this paper is to introduce a generalization of some notions in homological algebra. We define the concepts of chain U-complex, U-homology, chain (U, U')-map, chain (U, U')-homotopy and $\mu$-functor. We also obtain some interesting results. We use these results to find a generalization of Lambek Lemma, Snake Lemma, Connecting Homomorphism and Exact Triangle.