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Volume 15, Issue 2 (2023), Pages [89] - [193]

CLASSIFICATION OF ROTA-BAXTER OPERATORS ON D8 

[1] V. G. Bardakov and V. Gubarev, Rota-Baxter groups, skew left braces, and the Yang-Baxter equation, Journal of Algebra 596 (2022), 328-351.

 

DOI: https://doi.org/10.1016/j.jalgebra.2021.12.036

 

[2] V. G. Bardakov and V. Gubarev, Rota-Baxter operators on groups, Proceedings of the Indian Academy of Sciences: Mathematical Sciences 133(1) (2023); Article 4.

 

DOI: https://doi.org/10.1007/s12044-023-00723-9

 

[3] G. Baxter, An analytic problem whose solution follows from a simple algebraic identity, Pacific Journal of Mathematics 10(3) (1960), 731-742.

 

[4] F. Catino, M. Mazzotta and P. Stefanelli, Rota-Baxter operators on Clifford semigroups and the Yang-Baxter equation, Journal of Algebra 622 (2023), 587-613.

 

DOI: https://doi.org/10.1016/j.jalgebra.2023.02.013

 

[5] A. Das and N. Rathee, Extensions and automorphisms of Rota-Baxter groups, Journal of Algebra 636 (2023), 626-665.

 

DOI: https://doi.org/10.1016/j.jalgebra.2023.09.006

 

[6] X. Gao, L. Guo, Y. Liu and Z. Zhu, Operated groups, differential groups and Rota-Baxter groups with an emphasis on the free objects, Communications in Algebra 51(11) (2023), 4481-4500.

 

DOI: https://doi.org/10.1080/00927872.2023.2212775

 

[7] M. Goncharov, Rota-Baxter operators on cocommutative Hopf algebras, Journal of Algebra 582 (2021), 39-56.

 

DOI: https://doi.org/10.1016/j.jalgebra.2021.04.024

 

[8] L. Guarnieri and L. Vendramin, Skew braces and the Yang-Baxter equation, Mathematics of Computation 86(307) (2017), 2519-2534.

 

[9] L. Guo, An Introduction to Rota-Baxter Algebra, Surveys of Modern Mathematics, Vol. 4, International Press/Higher Education Press, Somerville (MA, USA)/Beijing, 2012.

 

[10] L. Guo, H. Lang and Y. Sheng, Integration and geometrization of Rota-Baxter Lie algebras, Advances in Mathematics 387 (2021); Article 107834.

 

DOI: https://doi.org/10.1016/j.aim.2021.107834

 

[11] Z. Li and S. Wang, Rota-Baxter systems and skew trusses, Journal of Algebra 623 (2023), 447-480.

 

DOI: https://doi.org/10.1016/j.jalgebra.2023.02.022

 

[12] N. Rathee and M. Singh, Relative Rota-Baxter Groups and Skew Left Braces, (2023), arXiv:2305.00922.

 

[13] The GAP Group, Groups Algorithms and Programming, Version 4.11.0 (2020).

 

http://www.gapsystem.org