Nilpotency in left semi-braces
Quantum Algebra
2025-05-02 v1
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.
Keywords
Cite
@article{arxiv.2010.04939,
title = {Nilpotency in left semi-braces},
author = {Francesco Catino and Ferran Cedó and Paola Stefanelli},
journal= {arXiv preprint arXiv:2010.04939},
year = {2025}
}