A GENERALIZATION OF HOMOLOGICAL ALGEBRA

Title & Authors
A GENERALIZATION OF HOMOLOGICAL ALGEBRA
Davvaz, B.; Shabani-Solt, H.;

Abstract
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 $\small{\mu}$-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.
Keywords
chain U-complex;chain (U, U′)-homotopy;U-functor;U-homology;
Language
English
Cited by
1.
ON QUASI-EXACT SEQUENCES,;;

대한수학회보, 2005. vol.42. 1, pp.149-155
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