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math.AC2014
Endofunctors of singularity categories characterizing Gorenstein rings
Takuma Aihara, Ryo Takahashi
In this paper, we prove that certain contravariant endofunctors of singularity categories characterize Gorenstein rings.
math.AC2011★ 15 cited
Generators and dimensions of derived categories
Takuma Aihara, Ryo Takahashi
Several years ago, Bondal, Rouquier and Van den Bergh introduced the notion of the dimension of a triangulated category, and Rouquier proved that the bounded derived category of co…