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Abstract:

We define combinatorial representations of finite skew braces and use this idea to produce a database of skew braces of small size. This database is then used to explore different concepts of the theory of skew braces such as ideals, series of ideals, prime, and semiprime ideals, Baer and Wedderburn radicals and solvability. The article contains several questions. © 2018, © 2018 Taylor & Francis Group, LLC.

Registro:

Documento: Artículo
Título:On skew braces and their ideals
Autor:Konovalov, A.; Smoktunowicz, A.; Vendramin, L.
Filiación:Centre for Interdisciplinary Research in Computational Algebra, University of St Andrews, St Andrews, United Kingdom
School of Mathematics, The University of Edinburgh, Edinburgh, United Kingdom
IMAS–CONICET and Departamento de Matemática, FCEN, Universidad de Buenos Aires, Buenos Aires, Argentina
Palabras clave:braces; radical rings; Yang–Baxter equation
Año:2018
DOI: http://dx.doi.org/10.1080/10586458.2018.1492476
Título revista:Experimental Mathematics
Título revista abreviado:Exp. Math.
ISSN:10586458
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10586458_v_n_p_Konovalov

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Citas:

---------- APA ----------
Konovalov, A., Smoktunowicz, A. & Vendramin, L. (2018) . On skew braces and their ideals. Experimental Mathematics.
http://dx.doi.org/10.1080/10586458.2018.1492476
---------- CHICAGO ----------
Konovalov, A., Smoktunowicz, A., Vendramin, L. "On skew braces and their ideals" . Experimental Mathematics (2018).
http://dx.doi.org/10.1080/10586458.2018.1492476
---------- MLA ----------
Konovalov, A., Smoktunowicz, A., Vendramin, L. "On skew braces and their ideals" . Experimental Mathematics, 2018.
http://dx.doi.org/10.1080/10586458.2018.1492476
---------- VANCOUVER ----------
Konovalov, A., Smoktunowicz, A., Vendramin, L. On skew braces and their ideals. Exp. Math. 2018.
http://dx.doi.org/10.1080/10586458.2018.1492476