论文标题

偏斜括号的等斜利

Isoclinism of skew braces

论文作者

Letourmy, Thomas, Vendramin, Leandro

论文摘要

我们定义了偏斜括号的等斜利,并提出了几种应用。我们研究在等斜利下不变的偏差牙套的某些特性。例如,我们证明正确的nilpotenciency是一种异常不变。该结果在Yang-Baxter方程中的集合理论解决方案理论中应用。我们定义等级溶液,并研究等斜利下的多电压溶液。

We define isoclinism of skew braces and present several applications. We study some properties of skew braces that are invariant under isoclinism. For example, we prove that right nilpotency is an isoclinism invariant. This result has application in the theory of set-theoretic solutions to the Yang-Baxter equation. We define isoclinic solutions and study multipermutation solutions under isoclinism.

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