67 citations · 246 across the 43 of their papers we have counts for
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math.GR2021★ 25 cited
Rota-Baxter operators on groups
Valeriy G. Bardakov, Vsevolod Gubarev
Theory of Rota-Baxter operators on rings and algebras has been developed since 1960. Recently, L. Guo, H. Lang, Y. Sheng [arXiv:2009.03492] have defined the notion of Rota-Baxter o…
math.GR2021★ 51 cited
Rota-Baxter groups, skew left braces, and the Yang-Baxter equation
Valeriy G. Bardakov, Vsevolod Gubarev
Braces were introduced by W. Rump in 2006 as an algebraic system related to the quantum Yang-Baxter equation. In 2017, L. Guarnieri and L. Vendramin defined for the same purposes a…