论文标题
左半束中的尼尔疗
Nilpotency in left semi-braces
论文作者
论文摘要
我们介绍了左右系列左半束缚。这允许定义左右nilpotent左半束缚。我们研究了这种半牙齿的结构，并将一些因偏斜牙套已知的结果推广到左半牙齿。我们研究左半束缚$ b $的结构，以使添加剂dempotents $ e $的集合是$ b $的理想选择。最后，我们介绍了一个左左半钢制的概念，并表明这种半晶格的乘法组是nilpotent的。
We introduce left and right series of left semi-braces. This allows to define left and right nilpotent left semi-braces. We study the structure of such semi-braces and generalize some results, known for skew left braces, to left semi-braces. We study the structure of left semi-braces $B$ such that the set of additive idempotents $E$ is an ideal of $B$. Finally we introduce the concept of a nilpotent left semi-brace and we show that the multiplicative group of such semi-braces is nilpotent.
