2 citations · 2 across the 5 of their papers we have counts for
5 papers
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…
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…
Generalized Hopf-Ore extensions
Lan You, Zhen Wang, Huixiang Chen
We derive necessary and sufficient conditions for an Ore extension of a Hopf algebra to have a Hopf algebra structure of a certain type. This construction generalizes the notion of…
Representations of Hopf Ore extensions of group algebras and pointed Hopf algebras of rank one
Zhen Wang, Lan You, Hui-Xiang Chen
In this paper, we study the representation theory of Hopf-Ore extensions of group algebras and pointed Hopf algebras of rank one over an arbitrary field . Let $H=kG(χ, a,\d)$ be…
Hopf-Ore Extensions and Hopf Algebras of Rank One
Zhen Wang, Lan You, Hui-Xiang Chen
In this paper, we study pointed rank one Hopf algebras and Hopf-Ore extensions of group algebras, over an arbitrary field . It is proved that the rank of a Hopf-Ore extension of…