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arXiv · 2501.17624

Constructing skew bracoids via abelian maps, and solutions to the {Y}ang-{B}axter equation

Alan Koch·Paul J. Truman
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Abstract

We show how one can use the skew braces constructed using abelian maps to generate families of skew bracoids as defined by Martin-Lyons and Truman. Under certain circumstances, these bracoids give right non-degenerate solutions to the Yang-Baxter equation.

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Alan Koch, Paul J. Truman. 2025-01-29. Constructing skew bracoids via abelian maps, and solutions to the {Y}ang-{B}axter equation. https://arxiv.org/abs/2501.17624

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