A new family of set-theoretic solutions of the Yang–Baxter equation
type: Item
instance of: scholarly article
title: A new family of set-theoretic solutions of the Yang–Baxter equation
zbMATH Open document ID: 1440.16038
DOI: 10.1080/00927872.2017.1350700
author: M. Castelli
author: F. Catino
author: G. Pinto
published in: Communications in Algebra
publication date: 2018-06-20T00:00:00Z
Mathematics Subject Classification ID: 16T25
Mathematics Subject Classification ID: 20E22
Mathematics Subject Classification ID: 20F16
zbMATH DE Number: 6891573
zbMATH Keywords: cycle set
zbMATH Keywords: set-theoretic solution
zbMATH Keywords: Yang-Baxter equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/00927872.2017.1350700
OpenAlex ID: W2736245324
cites work: A family of irretractable square-free solutions of the Yang-Baxter equation
cites work: Construction of quasi-linear left cycle sets
cites work: Coxeter-like groups for set-theoretic solutions of the Yang-Baxter equation.
cites work: Set-theoretic solutions of the Yang-Baxter equation, RC-calculus, and Garside germs.
cites work: On some unsolved problems in quantum group theory
cites work: Set-theoretical solutions to the quantum Yang-Baxter equation
cites work: A combinatorial approach to the set-theoretic solutions of the Yang–Baxter equation
cites work: Semigroups of \(I\)-type
cites work: NOETHERIAN SEMIGROUP ALGEBRAS
cites work: Cohomology and extensions of braces
cites work: Homology of left non-degenerate set-theoretic solutions to the Yang-Baxter equation
cites work: A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation
cites work: SEMIDIRECT PRODUCTS IN ALGEBRAIC LOGIC AND SOLUTIONS OF THE QUANTUM YANG–BAXTER EQUATION
cites work: Quasi-linear cycle sets and the retraction problem for set-theoretic solutions of the quantum Yang-Baxter equation
cites work: Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova.
Recommended article: A note on set-theoretic solutions of the Yang-Baxter equation
Recommended article: Set-theoretic solutions of the Yang-Baxter equation and new classes of \(\mathrm{R}\)-matrices
Recommended article: On the set-theoretical Yang-Baxter equation
Recommended article: A combinatorial approach to noninvolutive set-theoretic solutions of the Yang-Baxter equation
Recommended article: Set-theoretic solutions of the Yang-Baxter equation, graphs and computations
Recommended article: Set-theoretic solutions to the Yang-Baxter equation and generalized semi-braces
Recommended article: A combinatorial approach to the set-theoretic solutions of the Yang–Baxter equation
Recommended article: Set-theoretical solutions to the quantum Yang-Baxter equation
Recommended article: Enumeration of set-theoretic solutions to the Yang–Baxter equation
Recommended article: Solutions to the set-theoretical Yang Baxter equation derived from relations.
description: scientific article; zbMATH DE number 6891573