10 citations · 29 across the 15 of their papers we have counts for
15 papers
The structure of connected (graded) Hopf algebras
G. -S. Zhou, Y. Shen, D. -M. Lu
In this paper, we establish a structure theorem for connected graded Hopf algebras over a field of characteristic by claiming the existence of a family of homogeneous generator…
Skew Calabi-Yau property of normal extensions
G. -S. Zhou, Y. Shen, D. -M. Lu
We prove that the skew Calabi-Yau property is preserved under normal extension for locally finite positively graded algebras. We also obtain a homological identity which describes…
Nakayama automorphisms of twisted tensor products
Y. Shen, G. -S. Zhou, D. -M. Lu
In this paper, we study homological properties of twisted tensor products of connected graded algebras. We focus on the Ext-algebras of twisted tensor products with a certain form…
Behavior of the Auslander condition with respect to regradings
G. -S. Zhou, Y. Shen, D. -M. Lu
We show that a noetherian ring graded by an abelian group of finite rank satisfies the Auslander condition if and only if it satisfies the graded Auslander condition. In addition,…
Block Systems of finite dimensional non-cosemisimple Hopf Algebras
Z. -P. Fan, D. -M. Lu
In this paper, we study finite dimensional non-cosemisimple Hopf algebras through its underlying coalgebra. We decompose such a Hopf algebra as a direct sum of `blocks'. Blocks are…
Lyndon words for Artin-Schelter regular algebras
G. -S. Zhou, D. -M. Lu
We show certain invariants of graded algebras of which all obstructions are Lyndon words and provide some methods to construct Artin-Schelter regular algebras from a closed set of…