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On skew braces and their ideals

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dc.contributor.authorKonovalov, A.
dc.contributor.authorSmoktunowicz, Agata
dc.contributor.authorVendramin, Leandro
dc.date.accessioned2019-12-22T00:36:32Z
dc.date.available2019-12-22T00:36:32Z
dc.date.issued2018-12-22
dc.identifier253440090
dc.identifiera5e5b391-e8bb-470a-8db0-f7cc4905767f
dc.identifier85058993847
dc.identifier000623768200006
dc.identifier.citationKonovalov , A , Smoktunowicz , A & Vendramin , L 2018 , ' On skew braces and their ideals ' , Experimental Mathematics , vol. Latest Articles . https://doi.org/10.1080/10586458.2018.1492476en
dc.identifier.issn1058-6458
dc.identifier.urihttps://hdl.handle.net/10023/19191
dc.descriptionThe 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.en
dc.description.abstractWe 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.
dc.format.extent10
dc.format.extent317594
dc.language.isoeng
dc.relation.ispartofExperimental Mathematicsen
dc.subjectBracesen
dc.subjectYang-Baxter equationen
dc.subjectRadical ringsen
dc.subjectQA Mathematicsen
dc.subjectDASen
dc.subject.lccQAen
dc.titleOn skew braces and their idealsen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.contributor.sponsorEuropean Commissionen
dc.contributor.institutionUniversity of St Andrews. School of Computer Scienceen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doi10.1080/10586458.2018.1492476
dc.description.statusPeer revieweden
dc.date.embargoedUntil2019-12-22
dc.identifier.urlhttps://arxiv.org/abs/1804.04106en
dc.identifier.grantnumberEP/M022641/1en
dc.identifier.grantnumber676541en


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