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math.AC2023
Vanishing of DHKK complexities for singularity categories and generation of syzygy modules
Tokuji Araya, Kei-ichiro Iima, Ryo Takahashi
Let R be a commutative noetherian ring. In this paper, we study, for the singularity category of R, the vanishing of the complexity in the sense of Dimitrov, Haiden, Kat…
math.AC2023
Strong generation for module categories
Souvik Dey, Pat Lank, Ryo Takahashi
This article investigates strong generation within the module category of a commutative Noetherian ring. We establish a criterion for such rings to possess strong generators within…