Corrigendum and addendum to “The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang–Baxter equation”

DOI10.1090/tran/8057zbMath1442.16036OpenAlexW2990818832MaRDI QIDQ5113225

Łukasz Kubat, Arne van Antwerpen, Eric Jespers

Publication date: 3 June 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/8057

zbMATH Keywords

Yang-Baxter equationprime idealset-theoretic solution(skew) brace

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) Quadratic and Koszul algebras (16S37) Yang-Baxter equations (16T25)

Related Items (6)

Reflection equation as a tool for studying solutions to the Yang-Baxter equation ⋮ On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang-Baxter equation ⋮ Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses ⋮ Set-theoretic solutions of the pentagon equation ⋮ Structure monoids of set-theoretic solutions of the Yang-Baxter equation ⋮ Radical and weight of skew braces and their applications to structure groups of solutions of the Yang-Baxter equation

Cites Work

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• Semigroups of \(I\)-type
• The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang–Baxter equation

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