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Categorical resolutions of a class of derived categories
Published 6 Feb 2016 in math.RT | (1602.02234v1)
Abstract: Using the relative derived categories, we prove that if an Artin algebra $A$ has a module $T$ with ${\rm inj.dim}T<\infty$ such that $\perp T$ is finite, then the bounded derived category $Db({\rm mod}A)$ admits a categorical resolution; and that for CM-finite Gorenstein algebra, such a categorical resolution is weakly crepant.
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