Title of article :
On the structure of some left braces
Author/Authors :
Ballester-Bolinches ، Adolfo Departament de Matemàtiques - Universitat de València , Esteban-Romero ، Ramón Departament de Matemàtiques - Universitat de València , Kurdachenko ، Leonid A. Department of Geometry and Algebra - Oles Honchar Dnipro National University Departament de Matemàtiques , Pérez-Calabuig ، Vicent Departament de Matemàtiques - Universitat de València
Abstract :
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.
Keywords :
Skew left brace , left brace , Artinian left brace , minimal condition , right nilpotent left brace , Skmoktunowicz , nilpotent left brace , one , generated left brace
Journal title :
International Journal of Group Theory
Journal title :
International Journal of Group Theory
