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
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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
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Palabras clave: | braces; radical rings; Yang–Baxter equation |
Año: | 2018
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DOI: |
http://dx.doi.org/10.1080/10586458.2018.1492476 |
Título revista: | Experimental Mathematics
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Título revista abreviado: | Exp. Math.
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ISSN: | 10586458
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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