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arXiv · 2508.17951

Skew Braces from a model-theoretic point of view 1

Maria Ferrara·Marco Trombetti·Moreno Invitti·Frank Olaf Wagner
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Abstract

Skew braces are one of the main algebraic tools controlling the structure of a non-degenerate bijective set-theoretic solution of the Yang-Baxter equation. The aim of this paper is to study model-theoretically tame skew braces, with particular attention to the notions of solubility and nilpotency.

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Maria Ferrara, Marco Trombetti, Moreno Invitti, Frank Olaf Wagner. 2025-08-25. Skew Braces from a model-theoretic point of view 1. https://arxiv.org/abs/2508.17951

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