37 citations · 132 across the 19 of their papers we have counts for
4 papers · 1 filter
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…
Properties of quasi-projective dimension over abelian categories
Hongxing Chen, Xiaohu Chen, Mengge Liu
Quasi-projective dimension was introduced by Gheibi, Jorgensen and Takahashi to generalize the Auslander-Buchsbaum formula and the depth formula in commutative algebra. In this pap…
Resolving dualities and applications to homological invariants
Hongxing Chen, Jiangsheng Hu
Dualities of resolving subcategories of finitely generated modules over Artin algebras are characterized as dualities with respect to Wakamatsu tilting bimodules. By restriction of…
Recollements of derived categories III: finitistic dimensions
Hongxing Chen, Changchang Xi
In this paper, we study homological dimensions of algebras linked by recollements of derived module categories, and establish a series of new upper bounds and relationships among t…