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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…
math.RA2026
Quasi-projective dimensions of complexes over rings
Hongxing Chen, Jiangsheng Hu, Xiaoyan Yang
Quasi-projective dimension of modules over associative rings is generalized in this paper to the one of complexes of modules. Basic properties of this dimension are established, in…