Nilpotency in left semi-braces
arXiv:2010.04939 · doi:10.1016/j.jalgebra.2022.04.004
Abstract
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 such that the set of additive idempotents is an ideal of . Finally we introduce the concept of a nilpotent left semi-brace and we show that the multiplicative group of such semi-braces is nilpotent.
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