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arXiv · 2409.07699

The Rota-Baxter algebra structures on split semi-quaternion algebra

Chen Quanguo·Deng Yong
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Abstract

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.

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BibTeXRIS

Chen Quanguo, Deng Yong. 2024-09-12. The Rota-Baxter algebra structures on split semi-quaternion algebra. https://arxiv.org/abs/2409.07699

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