5 papers
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…
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…
A recollement approach to Han's conjecture
Ren Wang, Xiaoxiao Xu, Jinbi Zhang +1
A conjecture due to Y. Han asks whether that Hochschild homology groups of a finite dimensional algebra vanish for sufficiently large degrees would imply that the algebra is of fin…
Categorical properties and homological conjectures for bounded extensions of algebras
Yongyun Qin, Xiaoxiao Xu, Jinbi Zhang +1
An extension of finite dimensional algebras is bounded if the --bimodule is -tensor nilpotent, its projective dimension is finite and $\mathrm{Tor}_i^B(…
Localization theorems for weakly approximable triangulated categories
Yongliang Sun, Jinbi Zhang, Yaohua Zhang
Weakly approximable triangulated categories, introduced by Neeman, provide a powerful framework for studying localization phenomena in triangulated categories. In this paper, we es…