Article ID Journal Published Year Pages File Type
4595957 Journal of Pure and Applied Algebra 2016 13 Pages PDF
Abstract
We develop a theory of extensions for involutive and nondegenerate solutions of the set-theoretic Yang-Baxter equation and use it to produce new families of solutions. As an application we construct an infinite family of counterexamples to a conjecture of Gateva-Ivanova related to the retractability of square-free solutions.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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