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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.19761 |
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| _version_ | 1866909706531897344 |
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| author | Quanguo, Chen |
| author_facet | Quanguo, Chen |
| contents | In this paper, we will introduce a novel method for constructing numerous examples of twisted partial Hopf actions. Utilizing split quaternions, split semi-quaternions, and ${1\over4}$-quaternions as our subjects of study, we have obtained a class of twisted partial Hopf actions by examining the twisted partial actions of Sweedler Hopf algebra on these structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19761 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A class of twisted partial Hopf actions Quanguo, Chen Rings and Algebras In this paper, we will introduce a novel method for constructing numerous examples of twisted partial Hopf actions. Utilizing split quaternions, split semi-quaternions, and ${1\over4}$-quaternions as our subjects of study, we have obtained a class of twisted partial Hopf actions by examining the twisted partial actions of Sweedler Hopf algebra on these structures. |
| title | A class of twisted partial Hopf actions |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2507.19761 |