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Derived category of weak chain -complexes
Fajar Yuliawan1, Intan Muchtadi-Alamsyah1, Valerian Pratama2
1Algebra Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia.
Abstract:
In this paper, we define the derived category of weak chain -complexes, and we give a characterization of any weak chain -complex as an object in the right bounded homotopy category of weak chain -complexes of projective modules. Then, we show that the homology functor between the category of chain complexes and weak chain -complexes is a natural isomorphism by constructing an adjoint pair between these two categories.
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