论文标题
偏斜括号的类别SKB的各个方面
Aspects of the Category SKB of Skew Braces
论文作者
论文摘要
我们检查了左偏度牙套的尖型原始类别SKB。我们研究了左偏度支架中理想的换向者的概念。请注意,在文献中,经常考虑偏斜牙套理想的“产品”。我们证明了Huq = Smith的左偏括号。最后,我们为两个理想的换向器提供了一组发电机,并证明了左偏度支撑的每个理想都有一个中央器。
We examine the pointed protomodular category SKB of left skew braces. We study the notion of commutator of ideals in a left skew brace. Notice that in the literature, "product" of ideals of skew braces is often considered. We show that Huq=Smith for left skew braces. Finally, we give a set of generators for the commutator of two ideals, and prove that every ideal of a left skew brace has a centralizer.