4 papers
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…
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…
Virtually Gorenstein algebras of infinite dominant dimension
Hongxing Chen, Changchang Xi
Motivated by understanding the Nakayama conjecture which states that algebras of infinite dominant dimension should be self-injective, we study self-orthogonal modules with virtual…