5 citations · 5 across the 11 of their papers we have counts for
11 papers
Three results on extension dimensions of syzygy module categories
Pei Luo, Zhongkui Liu
This paper establishes three main results on the extension dimension of syzygy module categories:(1)we prove that excellent ring extensions preserve extension dimensions of syzygy…
The extension dimension of group graded rings
Pei Luo, Zhongkui Liu
In this paper, we introduce the concept of graded extension dimension for a group graded ring R, denoted by gr.ext.dim(R). We prove that when R is strongly graded, its graded exten…
On triangle equivalences of stable categories
Zhenxing Di, Zhongkui Liu, Jiaqun Wei
We apply the Auslander-Buchweitz approximation theory to show that the Iyama and Yoshino's subfactor triangulated category can be realized as a triangulated quotient. Applications…
Gorenstein projective objects in homotopy categories
Lu Bo, Liu Zhongkui
In this paper, we are concerned with Gorenstein projective objects in homotopy categories. Specifically, we present a characterization on Gorenstein projective objects in the categ…
Gorenstein homological dimensions of modules over triangular matrix rings
Rongmin Zhu, Zhongkui Liu, Zhanping Wang
Let and be rings, a -bimodule and be the triangular matrix ring. In this paper, we chara…
Cartan-Eilenberg complexes and Auslander categories
Wei Ren, Zhongkui Liu
Let be a commutative noetherian ring with a semi-dualizing module . The Auslander categories with respect to are related through Foxby equivalence: $\xymatrix@C=50pt{\ma…