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dc.contributor.author
Jespers, E.
dc.contributor.author
Kubat, L.
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Van Antwerpen, A.
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Vendramin, Claudio Leandro
dc.date.available
2021-07-14T23:23:55Z
dc.date.issued
2019-09-20
dc.identifier.citation
Jespers, E.; Kubat, L.; Van Antwerpen, A.; Vendramin, Claudio Leandro; Factorizations of skew braces; Springer; Mathematische Annalen; 375; 3-4; 20-9-2019; 1649-1663
dc.identifier.issn
0025-5831
dc.identifier.uri
http://hdl.handle.net/11336/136170
dc.description.abstract
We introduce strong left ideals of skew braces and prove that they produce non-trivial decomposition of set-theoretic solutions of the Yang–Baxter equation. We study factorization of skew left braces through strong left ideals and we prove analogs of Itô’s theorem in the context of skew left braces. As a corollary, we obtain applications to the retractability problem of involutive non-degenerate solutions of the Yang–Baxter equation. Finally, we classify skew braces that contain no non-trivial proper characteristic ideals.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
FACTORIZATION
dc.subject
YANG-BAXTER
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BRACE
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RADICAL RING
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Factorizations of skew braces
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-11-27T18:10:11Z
dc.journal.volume
375
dc.journal.number
3-4
dc.journal.pagination
1649-1663
dc.journal.pais
Alemania
dc.description.fil
Fil: Jespers, E.. Vrije Unviversiteit Brussel; Bélgica
dc.description.fil
Fil: Kubat, L.. Vrije Unviversiteit Brussel; Bélgica
dc.description.fil
Fil: Van Antwerpen, A.. Vrije Unviversiteit Brussel; Bélgica
dc.description.fil
Fil: Vendramin, Claudio Leandro. Institute of Mathematical Sciences at NYU Shanghai; China. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Mathematische Annalen
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00208-019-01909-1
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00208-019-01909-1
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1905.05886
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