Hopf algebra structures on generalized quaternion algebras

In this paper, we use elementary linear algebra methods to explore possible Hopf algebra structures within the generalized quaternion algebra. The sufficient and necessary conditions that make the generalized quaternion algebra a Hopf algebra are given. It is proven that not all of the generalized q...

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Bibliographic Details
Published in:Electronic Research Archive
Main Authors: Quanguo Chen, Yong Deng
Format: Article
Language:English
Published: AIMS Press 2024-05-01
Subjects:
coalgebra
generalized quaternion
hopf algebra
sweedler hopf algebra
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2024154?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/era.2024154?viewType=HTML

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