6 citations · 8 across the 9 of their papers we have counts for
5 papers · 1 filter
The Link-Indecomposable Components of Hopf Algebras and Their Products
Kangqiao Li
The link relation on simple subcoalgebras is used for decompositions of coalgebras. In this paper, we provide more sufficient conditions for this link relation, and prove a formula…
The Finite Duals of Affine Prime Regular Hopf Algebras of GK-Dimension One
Kangqiao Li, Gongxiang Liu
This paper is an attempt to construct a special kind of Hopf pairing . Specifically, and should be both affine…
Note on Invariance and Finiteness for the Exponent of Hopf Algebras
Kangqiao Li
There are two notions of exponent of finite-dimensional Hopf algebras introduced and studied in the literature. In this note, we discuss and compare their properties including inva…
On the Antipode of Hopf Algebras with the Dual Chevalley Property
Kangqiao Li, Gongxiang Liu
In this paper, we study the antipode of a finite-dimensional Hopf algebra with the dual Chevalley property and obtain an annihilation polynomial for its antipode . The annih…
On the Exponent of Finite-Dimensional Non-Cosemisimple Hopf Algebras
Kangqiao Li, Shenglin Zhu
In 1999, Y. Kashina introduced the exponent of a Hopf algebra. In this paper, we prove that the exponent of a finite dimensional non-cosemisimple Hopf algebra with Chevalley proper…