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According to the Auslanderâs formula one way of studying an abelian category C is to study mod-C, that has nicer homological properties than C, and then translate the results back to C. Recently Krause gave a derived version of this formula and thus renewed the subject. This paper contains a detailed study of various versions of the Auslanderâs formula including the versions for all modules and for unbounded derived categories. We
also include some results concerning recollements of triangulated categories.
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