Shoufeng Wang

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20242026

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math.GR2026

Left semibraces, near left semibraces and the Yang-Baxter equation

Shoufeng Wang

A triple $(S, +, \cdot)$ is called a {\em left semibrace} if $(S, +)$ is a semigroup, $(S, \cdot)$ is a group with identity $e$ and $x (y + z) = (x y) + (x (x^{- 1} + z))$ for all $x, y, z\in…

math.GR2026

Deformed solutions of the Yang-Baxter equation associated to dual weak left $⋆$ -braces

Shoufeng Wang

As generalizations of dual weak left braces and skew left braces, in this paper, dual weak left $⋆$ -braces and square skew left braces are introduced, respectively. We firstly…

Left semibraces, near left semibraces and the Yang-Baxter equation

Deformed solutions of the Yang-Baxter equation associated to dual weak left ⋆-braces

Deformed solutions of the Yang-Baxter equation associated to dual weak left $⋆$ -braces