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On skew braces and their ideals

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On skew braces and their ideals. / Konovalov, A.; Smoktunowicz, Agata; Vendramin, Leandro.

In: Experimental Mathematics, Vol. Latest Articles, 22.12.2018.

Research output: Contribution to journalArticle

Harvard

Konovalov, A, Smoktunowicz, A & Vendramin, L 2018, 'On skew braces and their ideals' Experimental Mathematics, vol. Latest Articles. https://doi.org/10.1080/10586458.2018.1492476

APA

Konovalov, A., Smoktunowicz, A., & Vendramin, L. (2018). On skew braces and their ideals. Experimental Mathematics, Latest Articles. https://doi.org/10.1080/10586458.2018.1492476

Vancouver

Konovalov A, Smoktunowicz A, Vendramin L. On skew braces and their ideals. Experimental Mathematics. 2018 Dec 22;Latest Articles. https://doi.org/10.1080/10586458.2018.1492476

Author

Konovalov, A. ; Smoktunowicz, Agata ; Vendramin, Leandro. / On skew braces and their ideals. In: Experimental Mathematics. 2018 ; Vol. Latest Articles.

Bibtex - Download

@article{a5e5b391e8bb470a8db0f7cc4905767f,
title = "On skew braces and their ideals",
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 paper contains several questions.",
keywords = "Braces, Yang-Baxter equation, Radical rings",
author = "A. Konovalov and Agata Smoktunowicz and Leandro Vendramin",
note = "The first-named author is partially supported by CCP CoDiMa (EP/M022641/1) and the OpenDreamKit Horizon 2020 European Research Infrastructures project (#676541). The second-named author is supported by the ERC Advanced grant 320974. The third-named author is supported by PICT-201-0147, MATH-AmSud 17MATH-01 and ERC Advanced grant 320974.",
year = "2018",
month = "12",
day = "22",
doi = "10.1080/10586458.2018.1492476",
language = "English",
volume = "Latest Articles",
journal = "Experimental Mathematics",
issn = "1058-6458",
publisher = "Taylor & Francis",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - On skew braces and their ideals

AU - Konovalov, A.

AU - Smoktunowicz, Agata

AU - Vendramin, Leandro

N1 - The first-named author is partially supported by CCP CoDiMa (EP/M022641/1) and the OpenDreamKit Horizon 2020 European Research Infrastructures project (#676541). The second-named author is supported by the ERC Advanced grant 320974. The third-named author is supported by PICT-201-0147, MATH-AmSud 17MATH-01 and ERC Advanced grant 320974.

PY - 2018/12/22

Y1 - 2018/12/22

N2 - 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 paper contains several questions.

AB - 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 paper contains several questions.

KW - Braces

KW - Yang-Baxter equation

KW - Radical rings

UR - https://arxiv.org/abs/1804.04106

U2 - 10.1080/10586458.2018.1492476

DO - 10.1080/10586458.2018.1492476

M3 - Article

VL - Latest Articles

JO - Experimental Mathematics

T2 - Experimental Mathematics

JF - Experimental Mathematics

SN - 1058-6458

ER -

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ID: 253440090