Shoufeng Wang

collaborators

3 papers

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…

math.GR2025

Some characterizations of weak left braces

Shoufeng Wang

As generalizations of skew left braces, weak left braces were introduced recently by Catino, Mazzotta, Miccoli and Stefanelli to study ceratin special degenerate set-theoretical so…

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

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

Some characterizations of weak left braces

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