Double Ore extensions of anti-angle type for Hopf algebras

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.

Keywords

• connected graded algebra
• hopf double ore extension
• anti-angle type