论文标题
Yang-baxter方程和广义半径的设定理论解决方案
Set-theoretic solutions to the Yang-Baxter equation and generalized semi-braces
论文作者
论文摘要
本文旨在介绍Yang-Baxter方程的固定解决方案的构建技术，称为强烈的解决方案。该技术受到半群半群的强大启发，使人们能够获得新的解决方案。特别是，这种方法对于提供有限顺序的非限制解决方案很有用。它是众所周知的牙套，偏斜的括号，半胶带与解决方案紧密相关。因此，我们基于这种新的解决方案构建技术，介绍了半束缚的代数结构的概括。
This paper aims to introduce a construction technique of set-theoretic solutions of the Yang-Baxter equation, called strong semilattice of solutions. This technique, inspired by the strong semilattice of semigroups, allows one to obtain new solutions. In particular, this method turns out to be useful to provide non-bijective solutions of finite order. It is well-known braces, skew braces and semi-braces are closely linked with solutions. Hence, we introduce a generalization of the algebraic structure of semi-braces based on this new construction technique of solutions.
