10 citations · 29 across the 15 of their papers we have counts for
12 papers · 1 filter
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,…
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…
Regularity criterion and classification for algebras of Jordan type
Y. Shen, G. -S. Zhou, D. -M. Lu
We show that Artin-Schelter regularity of a -graded algebra can be examined by its associated -graded algebra. We prove that there is exactly one class of…