Set-theoretical solutions to the Hom-Yang-Baxter equation and Hom-cycle sets
نویسندگان
چکیده
Set-theoretic solutions to the Yang-Baxter equation have been studied extensively by means of related algebraic systems such as cycle sets and braces, dynamical versions which also developed. No work focuses on set-theoretic Hom-Yang-Baxter (HYBE for short). This paper investigates HYBE associated system, called Hom-cycle sets. We characterize left non-degenerate involutive sets, establish their relations. discuss connections among equation.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2023
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2023.05.004