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

Published 29 Jan 2025 in math.GR, math-ph, and math.MP | (2501.17624v1)

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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Authors (2)

  1. Alan Koch 
  2. Paul J. Truman 

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