Rota—Baxter groups, skew left braces, and the Yang—Baxter equation
نویسندگان
چکیده
Braces were introduced by W. Rump in 2006 as an algebraic system related to the quantum Yang—Baxter equation. In 2017, L. Guarnieri and Vendramin defined for same purposes a more general notion of skew left brace. 2020, Guo, H. Lang Y. Sheng gave definition what is Rota—Baxter operator on group. We connect these two notions follows. It shown that every group gives rise Moreover, brace can be injectively embedded into When additive complete, then this induced interpret some theory braces terms operators.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2022
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2021.12.036