On skew braces and their ideals

DOI10.1080/10586458.2018.1492476zbMath1476.16036arXiv1804.04106OpenAlexW3103683199MaRDI QIDQ5857764

Agata Smoktunowicz, Leandro Vendramin, Olexandr Konovalov

Publication date: 7 April 2021

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.04106

zbMATH Keywords

Yang-Baxter equationradical ringsbraces

Mathematics Subject Classification ID

Yang-Baxter equations (16T25)

Related Items (15)

Aspects of the category SKB of skew braces ⋮ Nilpotency in left semi-braces ⋮ Algebraic approach to Rump’s results on relations between braces and pre-lie algebras ⋮ Symmetric skew braces and brace systems ⋮ On the connection between Hopf–Galois structures and skew braces ⋮ On bi-skew braces and brace blocks ⋮ Algebraic structures from the point of view of complete multiplicative lattices ⋮ From braces to Hecke algebras and quantum groups ⋮ On two-sided skew braces ⋮ Near braces and p$p$‐deformed braided groups ⋮ The wreath product of semiprime skew braces is semiprime ⋮ Radical and weight of skew braces and their applications to structure groups of solutions of the Yang-Baxter equation ⋮ Retractability of solutions to the Yang–Baxter equation and p-nilpotency of skew braces ⋮ A new formula for Lazard's correspondence for finite braces and pre-Lie algebras ⋮ The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang–Baxter equation

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