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...

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Autores principales: Cedó, F., Smoktunowicz, A., Vendramin, L.
Formato: INPR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00246115_v_n_p_Cedo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_00246115_v_n_p_Cedo2023-10-03T14:35:18Z Skew left braces of nilpotent type Cedó, F. Smoktunowicz, A. Vendramin, L. 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 INPR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00246115_v_n_p_Cedo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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
format INPR
author Cedó, F.
Smoktunowicz, A.
Vendramin, L.
spellingShingle Cedó, F.
Smoktunowicz, A.
Vendramin, L.
Skew left braces of nilpotent type
author_facet Cedó, F.
Smoktunowicz, A.
Vendramin, L.
author_sort Cedó, F.
title Skew left braces of nilpotent type
title_short Skew left braces of nilpotent type
title_full Skew left braces of nilpotent type
title_fullStr Skew left braces of nilpotent type
title_full_unstemmed Skew left braces of nilpotent type
title_sort skew left braces of nilpotent type
url http://hdl.handle.net/20.500.12110/paper_00246115_v_n_p_Cedo
work_keys_str_mv AT cedof skewleftbracesofnilpotenttype
AT smoktunowicza skewleftbracesofnilpotenttype
AT vendraminl skewleftbracesofnilpotenttype
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