4 papers
On the representation dimension of smash products
Lijing Zheng, Chonghui Huang, Qianhong Wan
Let be a finite dimensional -graded algebra with a finite group, and be the smash product of with the group . Our results can be stated as follo…
Syzygy Modules and Injective Cogenerators for Noether Rings
Chonghui Huang
In this paper, we focus on -syzygy modules and the injective cogenerator determined by the minimal injective resolution of a noether ring. We study the properties of -syzygy…
Torsionfree Dimension of Modules and Self-Injective Dimension of Rings
Chonghui Huang, Zhaoyong Huang
Let be a left and right Noetherian ring. We introduce the notion of the torsionfree dimension of finitely generated -modules. For any , we prove that is a Goren…
The Auslander-Type Condition of Triangular Matrix Rings
Chonghui Huang, Zhaoyong Huang
Let be a left and right Noetherian ring and any non-negative integers. is said to satisfy the Auslander-type condition if the right flat dimension of the $(i…