Double Ore Extensions of Hopf Algebras

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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.

Key words: Hopf double Ore extension; Connected graded Hopf algebra
2000 MR Subject Classification: 16P90; 16S36; 16S38; 16T05; 16W50
DOI: 10.16205/j.cnki.cama.2021.0034
Received date: 2019-07-16
Revised date: 2021-02-26
Accepted date: 2021-03-01
Published date: 2021-12-25