Double Ore extensions of anti-angle type for Hopf algebras

Qining Li; Qining Li

doi:10.3934/math.2022696

AIMS Mathematics

2022, Volume 7, Issue 7: 12566-12586. doi: 10.3934/math.2022696

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Double Ore extensions of anti-angle type for Hopf algebras

Qining Li ^,

School of Mathematical Sciences, Zhejiang University, Yuquan Campus, Hangzhou, 310027, China

Received: 21 January 2022 Revised: 12 April 2022 Accepted: 18 April 2022 Published: 28 April 2022
MSC : 16S36, 16W30, 16W50

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.
- connected graded algebra,
- Hopf double Ore extension,
- anti-angle type
Citation: Qining Li. Double Ore extensions of anti-angle type for Hopf algebras[J]. AIMS Mathematics, 2022, 7(7): 12566-12586. doi: 10.3934/math.2022696

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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.

References

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