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The Adams operators on connected graded Hopf algebras
Y. -Y. Li, G. -S. Zhou
The Adams operators on a Hopf algebra are the convolution powers of the identity map of . They are also called Hopf powers or Sweedler powers. It is a natural family of oper…
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…
Ext-algebras of graded skew extensions
Y. Shen, X. Wang, G. -S. Zhou
In this paper, we study the Ext-algebras of graded skew extensions. For a connected graded algebra and a graded automorphism , we analyze the Yoneda product of the Ext-algeb…
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…
Artin-Schelter regular algebras of dimension five with two generators
G. -S. Zhou, D. -M. Lu
We study and classify Artin-Schelter regular algebras of dimension five with two generators under an additional -grading by Hilbert driven Gröbner basis computations.…