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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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
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00246115_v_n_p_Cedo
record_format dspace
spelling paper:paper_00246115_v_n_p_Cedo2023-06-08T14:52:32Z 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 solutions of the Yang–Baxter equation are explored using the structure of skew left braces. © 2018 London Mathematical Society 2018 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
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
title Skew left braces of nilpotent type
spellingShingle 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
publishDate 2018
url 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
_version_ 1768543217381277696

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