J. Korean Math. Soc. 2002; 39(6): 881-898
Printed November 1, 2002
Copyright © The Korean Mathematical Society.
B. Davvaz and H. Shabani-Solt
Yazd University
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 $\mathcal U$-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
MSC numbers: 16E05, 16E30
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