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20172021
most citedThe Projective Class Rings of a family of pointed Hopf algebras of Rank two

1 citations · 1 across the 7 of their papers we have counts for

collaborators

10 papers

math.RA2021

Representations of Hopf-Ore extensions of group algebras

Hua Sun, Hui-Xiang Chen, Yinhuo Zhang

In this paper, we study the representations of the Hopf-Ore extensions of group algebra , where is an algebraically closed field. We classify all finite…

math.RA2020

Examples of non-semisimple Hopf algebra actions on Artin-Schelter regular algebras

Hui-Xiang Chen, Ding-Guo Wang, James J. Zhang

Let be a base field of characteristic and let be the restricted enveloping algebra of a 2-dimensional nonabelian restricted Lie algebra. We classify all inner-fai…

math.RA2020

Dorroh extensions of algebras and coalgebras, II

Lan You, Hui-Xiang Chen

In this paper, we study Dorroh extensions of bialgebras and Hopf algebras. Let be both a Dorroh pair of algebras and a Dorroh pair of coalgebras. We give necessary and suff…

math.RA2020

Dorroh extensions of algebras and coalgebras, I

Lan You, Hui-Xiang Chen

In this article, we study Dorroh extensions of algebras and Dorroh extensions of coalgebras. Their structures are described. Some properties of these extensions are presented. We a…

math.RA2019

The structures of Hopf -algebra on Radford algebras

Hassan Suleman Esmael Mohammed, Hui-Xiang Chen

We investigate the structures of Hopf -algebra on the Radford algebras over . All the -structures on are explicitly given. Moreover, these Hopf -algebr…

math.RA2018

Green ring of the category of weight modules over the Hopf-Ore extensions of group algebras

Hua Sun, Hui-Xiang Chen

In this paper, we continue our study of the tensor product structure of category of weight modules over the Hopf-Ore extensions of group algebras $k…