Shoufeng Wang

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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…

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…

math.GR2024

Set-theoretic solutions of the Yang-Baxter equation and regular *-semibraces

Qianxue Liu, Shoufeng Wang

As generalizations of inverse semibraces introduced by Catino, Mazzotta and Stefanelli, Miccoli has introduced regular $⋆$ -semibraces under the name of involution semibraces an…

math.GR2024

Chain projection ordered categories and DRC-restriction semigroups

Yin Die, Shoufeng Wang

In this paper we provide a theory of chain projection ordered categories and generalize that of chain projection ordered groupoids developed by East and Azeef Muhammed recently. By…

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

Set-theoretic solutions of the Yang-Baxter equation and regular *-semibraces

Chain projection ordered categories and DRC-restriction semigroups

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