The Rota-Baxter algebra structures on split semi-quaternion algebra
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917774614331392 |
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| author | Quanguo, Chen Yong, Deng |
| author_facet | Quanguo, Chen Yong, Deng |
| contents | In this paper, we shall describe all the Rota-Baxter operators with any weight on split semi-quaternion algebra. Firstly, we give the matrix characterization of the Rota-Baxter operator on split semi-quaternion algebra. Then we give the corresponding matrix representations of all the Rota-Baxter operators with any weight on split semi-quaternion algebra. Finally, we shall prove that the Ma et al. results about the Rota-Baxter operators on Sweedler algebra are just special cases of our results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07699 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Rota-Baxter algebra structures on split semi-quaternion algebra Quanguo, Chen Yong, Deng Rings and Algebras In this paper, we shall describe all the Rota-Baxter operators with any weight on split semi-quaternion algebra. Firstly, we give the matrix characterization of the Rota-Baxter operator on split semi-quaternion algebra. Then we give the corresponding matrix representations of all the Rota-Baxter operators with any weight on split semi-quaternion algebra. Finally, we shall prove that the Ma et al. results about the Rota-Baxter operators on Sweedler algebra are just special cases of our results. |
| title | The Rota-Baxter algebra structures on split semi-quaternion algebra |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2409.07699 |