Preservation of quasi-isomorphisms of complexes |
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| Authors: | Zhong Kui Liu |
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| Institution: | 1. Department of Mathematics, Northwest Normal University, Lanzhou, 730070, P. R. China
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| Abstract: | We consider the preservation property of the homomorphism and tensor product functors for quasi-isomorphisms and equivalences of complexes. Let X and Y be two classes of R-modules with Ext〉-1(X, Y ) = 0 for each object X ∈ X and each object Y ∈ Y. We show that if A,B ∈ C ?(R) are X-complexes and U, V ∈ C ?(R) are Y-complexes, then   | |
| Keywords: | Quasi-isomorphism equivalence derived functor Gorenstein homological dimension Hom evaluation morphism |
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