The Rota-Baxter algebra structures on split semi-quaternion algebra
Rings and Algebras
2024-09-13 v1
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.
Keywords
Cite
@article{arxiv.2409.07699,
title = {The Rota-Baxter algebra structures on split semi-quaternion algebra},
author = {Chen Quanguo and Deng Yong},
journal= {arXiv preprint arXiv:2409.07699},
year = {2024}
}