3 papers
math.RA2020
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…
math.RA2020
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…
math.RA2018
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…