论文标题
在双面偏斜的括号上
On two-sided skew braces
论文作者
论文摘要
为了研究双面偏斜的牙套，我们介绍了弱琐碎偏斜牙套的概念。我们对这种偏斜的牙套进行分类，并表明它们在研究双面偏斜括号中至关重要。作为一个应用程序，我们获得了新的和概括的已知结果，这些结果与双面偏斜括号的添加剂和乘法组有关。此外，我们表明，正如Konovalov，Smoktunowicz和Vendramin一起引入的两个先验和半弹药偏度牙套的先验不同概念，是双面偏斜牙套的重合。
In order to study two-sided skew braces, we introduce the notion of weakly trivial skew braces. We give a classification of such skew braces and show that they are essential in the study of two-sided skew braces. As an application, we obtain new and generalize known results relating the additive and multiplicative group of two-sided skew braces. Further, we show that two a priori different notions of prime and semi-prime skew braces, as introduced by Konovalov, Smoktunowicz and Vendramin, coincide for two-sided skew braces.
