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Recollement of colimit categories and its applications. (English) Zbl 07285986
Summary: We give an explicit recollement for a cocomplete abelian category and its colimit category. We obtain some applications on Leavitt path algebras, derived equivalences and \(K\)-groups.
MSC:
18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
19D50 Computations of higher \(K\)-theory of rings
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