On skew braces and their ideals

A. Konovalov, Agata Smoktunowicz, Leandro Vendramin

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)
32 Downloads (Pure)

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 languageEnglish
Number of pages10
JournalExperimental Mathematics
VolumeLatest Articles
Early online date22 Dec 2018
DOIs
Publication statusE-pub ahead of print - 22 Dec 2018

Keywords

  • Braces
  • Yang-Baxter equation
  • Radical rings

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