Abstract
In this paper, we define the derived category of weak chain U-complexes, and we give a characterization of any weak chain U-complex as an object in the right bounded homotopy category of weak chain U-complexes of projective modules. Then, we show that the homology functor between the category of chain complexes and weak chain U-complexes is a natural isomorphism by constructing an adjoint pair between these two categories.
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