Skew left braces of nilpotent type
We study series of left ideals of skew left braces that are analogs of upper central series of groups. These concepts allow us to define left and right nilpotent skew left braces. Several results related to these concepts are proved and applications to infinite left braces are given. Indecomposable...
Guardado en:
| Publicado: |
2018
|
|---|---|
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00246115_v_n_p_Cedo http://hdl.handle.net/20.500.12110/paper_00246115_v_n_p_Cedo |
| Aporte de: |
| Sumario: | We study series of left ideals of skew left braces that are analogs of upper central series of groups. These concepts allow us to define left and right nilpotent skew left braces. Several results related to these concepts are proved and applications to infinite left braces are given. Indecomposable solutions of the Yang–Baxter equation are explored using the structure of skew left braces. © 2018 London Mathematical Society |
|---|