On the structure of some left braces

Given an element $a$ of a left brace $A$ satisfying some nilpotency conditions, we describe the smallest subbrace of $A$ containing~$a$. We also present a description of the left braces satisfying the minimal condition for subbraces.

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Bibliographic Details
Main Authors: Adolfo Ballester-Bolinches, Ramón Esteban-Romero, Leonid Kurdachenko, Vicent Pérez-Calabuig
Format: Article
Language:English
Published: University of Isfahan 2023-12-01
Series:International Journal of Group Theory
Subjects:
Online Access:https://ijgt.ui.ac.ir/article_27997_8c6a7824288ee189dc5ba258e549c054.pdf
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