Left semi-braces and solutions of the Yang-Baxter equation

DOI10.1515/forum-2018-0059zbMath1456.16035arXiv1802.09993OpenAlexW2963759644WikidataQ129134156 ScholiaQ129134156MaRDI QIDQ670971

Eric Jespers, Arne van Antwerpen

Publication date: 20 March 2019

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.09993

zbMATH Keywords

groupsYang-Baxter equationmonoidsmonoid algebrassemi-brace

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Extensions, wreath products, and other compositions of groups (20E22) Semigroup rings, multiplicative semigroups of rings (20M25) Yang-Baxter equations (16T25)

Related Items (19)

Set-theoretic solutions to the Yang-Baxter equation and generalized semi-braces ⋮ Nilpotency in left semi-braces ⋮ Set-theoretic solutions of the Yang-Baxter equation associated to weak braces ⋮ Inverse semi-braces and the Yang-Baxter equation ⋮ The matched product of the solutions to the Yang-Baxter equation of finite order ⋮ Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses ⋮ Left non-degenerate set-theoretic solutions of the Yang–Baxter equation and dynamical extensions of q-cycle sets ⋮ Semi-affine structures on groups and semi-braces ⋮ Mini-workshop: Skew braces and the Yang-Baxter equation. Abstracts from the mini-workshop held February 26 -- March 4, 2023 ⋮ Extensions and Well’s type exact sequence of skew braces ⋮ The algebraic structure of left semi-trusses ⋮ Set-theoretical solutions of the Yang-Baxter and pentagon equations on semigroups ⋮ Rota-Baxter operators on Clifford semigroups and the Yang-Baxter equation ⋮ Unnamed Item ⋮ L-algebras with duality and the structure group of a set-theoretic solution to the Yang-Baxter equation ⋮ Degenerate involutive set-theoretic solutions to the Yang-Baxter equation ⋮ Actions of skew braces and set-theoretic solutions of the reflection equation ⋮ The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang–Baxter equation ⋮ Skew lattices and set-theoretic solutions of the Yang-Baxter equation

Cites Work

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