Double Ore Extensions of Anti-angle Type for Hopf Algebras

castelu

AIMS Mathematics.
2022, 7(7): 12566-12586

Double Ore Extensions of Anti-angle Type for Hopf Algebras

Qining Li

(School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China)

Abstract: The aim of this article is to extend the structure of a bialgebra (Hopf algebra) which is connected graded as an algebra and generated in degree $1$ to its double Ore extensions of anti-angle type. We construct two non-commutative and non-cocommutative Hopf algebras of infinite dimension and investigate the lifting of homological properties.

Key words: Connected graded algebra; Hopf double Ore extension; Anti-angle type
2000 MR Subject Classification: 16S36, 16W30, 16W50
DOI: 10.3934/math.2022696
Received date: 2022-01-21
Revised date: 2022-04-12
Accepted date: 2022-04-18
Published date: 2022-04-28