Chinese Annals of Mathematics, Series A.
2021, 42 (4): 441-458
Double Ore Extensions of Hopf Algebras
Qining Li
(School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China)
Abstract: The aim of this article is to define Hopf double Ore extensions, discuss their basic properties and study the relationship between gradations and Hopf double Ore extensions of Hopf algebras. The author also studies the homological properties of Hopf double Ore extensions for connected graded Hopf algebras and the structure of connected graded Hopf algebras.