< Terug naar vorige pagina
Publicatie
Factorizations of skew braces
Tijdschriftbijdrage - Tijdschriftartikel
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.
Tijdschrift: Mathematische Annalen
ISSN: 0025-5831
Issue: 3-4
Volume: 375
Pagina's: 1649–1663
Jaar van publicatie:2019
CSS-citation score:1
Toegankelijkheid:Closed