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Categorical resolutions of a class of derived categories
By using the relative derived categories, we prove that if an Artin algebra
has a module with such that is
finite, then the bounded derived category D^b(A\mbox{-}{\rm mod}) admits a
categorical resolution in the sense of [Kuz], and a categorical
desingularization in the sense of [BO]. For CM-finite Gorenstein algebra, such
a categorical resolution is weakly crepant. The similar results hold also for
D^b(A\mbox{-}{\rm Mod}).Comment: 23 page
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