Problems on skew left braces
Problems on skew left braces
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左大括号倾斜问题
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
L. Vendramin
中科院分区：
文献类型：
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作者：
L. Vendramin
箍是由Rump作为Jacobson根环的推广引入的。结果表明，大括号允许我们使用环理论和群理论的方法来研究Yang-Baxter方程的对合解。如果斜括号被斜括号取代，那么人们可以使用类似的方法来研究不一定是对合的解。在这里，我们收集了与（倾斜）支撑和Yang-Baxter方程的集合论解有关的问题。
Braces were introduced by Rump as a generalization of Jacobson radical rings. It turns out that braces allow us to use ring-theoretic and group-theoretic methods for studying involutive solutions to the Yang-Baxter equation. If braces are replaced by skew braces, then one can use similar methods for studying not necessarily involutive solutions. Here we collect problems related to (skew) braces and set-theoretic solutions to the Yang-Baxter equation.