On skew braces and their ideals

A.  Konovalov; Agata Smoktunowicz; L. Vendramin

doi:10.1080/10586458.2018.1492476

On skew braces and their ideals

A. Konovalov, Agata Smoktunowicz, L. Vendramin

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	95-104
Journal	Experimental mathematics
Volume	30
Issue number	1
Early online date	22 Dec 2018
DOIs	https://doi.org/10.1080/10586458.2018.1492476
Publication status	Published - 31 Mar 2021

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10.1080/10586458.2018.1492476

KonovalovSmokVendraminSubmitted manuscript, 189 KB
KonovalovSmokVendraminAccepted author manuscript, 318 KBLicence: Creative Commons: Attribution-NonCommercial-ShareAlike (CC BY-NC-SA)

https://arxiv.org/abs/1804.04106

Combinatorial methods in noncommutative ring theory (COIMBRA)
Smoktunowicz, A. (Principal Investigator)
EU government bodies
1/06/13 → 31/05/18
Project: Research

Cite this

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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.

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On skew braces and their ideals

Abstract

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Projects

Combinatorial methods in noncommutative ring theory (COIMBRA)

Cite this