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.
