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Abstract / Description of output
We study series of left ideals of skew left braces that are analogs of upper central series of groups. These concepts allow us to dene left and right nilpotent skew left braces. Several results related to these concepts are proved and applications to innite left braces are given. Indecomposable solutions of the YangBaxter equation are explored using the structure of skew left braces.
Original language  English 

Pages (fromto)  13671392 
Journal  Proceedings of the London Mathematical Society 
Volume  118 
Issue number  6 
Early online date  10 Oct 2018 
DOIs  
Publication status  Published  Jun 2019 
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Dive into the research topics of 'Skew Left Braces of Nilpotent Type'. Together they form a unique fingerprint.Projects
 2 Finished

Enhancing Representation Theory, Noncommutative Algebra And Geometry Through Moduli, Stability And Deformations
Gordon, I., Bayer, A. & Smoktunowicz, A.
1/05/18 → 30/04/24
Project: Research

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Agata Smoktunowicz
 School of Mathematics  Personal Chair in Algebra
Person: Academic: Research Active