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math.GR2025
On Rota--Baxter operators on finite simple groups of Lie type
Alexey Galt, Vsevolod Gubarev
Rota--Baxter operators on groups were introduced by L. Guo, H. Lang, Yu. Sheng in 2020. In 2023, V. Bardakov and the second author showed that all Rota--Baxter operators on simple…
math.RA2025★ 1 cited
Rota-Baxter operators on the simple Jordan algebra of matrices of order two
Vsevolod Gubarev, Alexander Panasenko
We describe all Rota-Baxter operators of any weight on the space of matrices from considered under the product and usually denoted as $M_2(F)^{(+)…