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A generalization of homological algebra
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Abstract
Our aim in this paper is to introduce a generalization of somenotions in homological algebra. We define the concepts of chainU-complex, U-homology, chain (U,U')-map, chain(U,U')-homotopy and mathcal U-functor. We also obtain someinteresting results. We use these results to find a generalizationof Lambek Lemma, Snake Lemma, Connecting Homomorphism and ExactTriangle.
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