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Research Article | Open Access

Double Ore extensions of anti-angle type for Hopf algebras

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

Keywords

connected graded algebraHopf double Ore extensionanti-angle type
CLC number: 16S36, 16W30, 16W50

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 12566-12586
DOI: 10.3934/math.2022696

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Li Q. Double Ore extensions of anti-angle type for Hopf algebras. AIMS Mathematics, 2022, 7(7): 12566-12586. https://doi.org/10.3934/math.2022696

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Received: 21 January 2022
Revised: 12 April 2022
Accepted: 18 April 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)