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math.RT2026
Bounded -structures on the category of strongly bounded objects
Hongxing Chen, Xiaohu Chen, Jinbi Zhang
Strongly bounded objects in a weakly approximable triangulated category are known to relate closely to global dimension and to play a significant role in the uniqueness problem for…
math.RT2026
Finiteness of homological dimensions in triangulated categories
Hongxing Chen, Xiaohu Chen, Jinbi Zhang
In a general triangulated category, the finiteness of the finitistic dimension serves as a prerequisite for a categorical obstruction, via the singularity category, to the existenc…