Showing papers by "Bijan Davvaz published in 2002"
TL;DR: In this paper, the concepts of chain U-complex, U-homology, chain (U, U')-map, chain U, U'-homotopy and -functor were introduced.
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 -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
14 citations
TL;DR: In this article, the authors define weak equality between two subsets of an H petertodd v isEnabled -module and introduce the notion of exact sequences of H petertoddv isEnabled -modules.
Abstract: The largest class of multivalued systems satisfying the module-like axioms is the H
v
-module. H
v
-modules first were introduced by Vougiouklis. In this paper we define weak equality between two subsets of an H
v
-module and introduced the notion of exact sequences of H
v
-modules. Also some results on the weak equality and exact sequences are given.
5 citations