Skew Braces from a model-theoretic point of view 1

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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ArXiv.org
Published
2025-08-25
Primary Topic
Advanced Numerical Analysis Techniques
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article
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article

Skew Braces from a model-theoretic point of view 1

Marco Trombetti, Maria Ferrara, Frank Olaf Wagner, Moreno Invitti
ArXiv.org
Advanced Numerical Analysis Techniques
article

Skew Braces from a model-theoretic point of view 1

Marco Trombetti, Maria Ferrara, Frank Olaf Wagner, Moreno Invitti
article en

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.

ArXiv.org
University of Campania "Luigi Vanvitelli" (IT), Institut Camille Jordan (FR), Federico II University Hospital (IT), Analyse, Géométrie et Modélisation (FR), University of Naples Federico II (IT)
Openalex Percentile: Top 70%
Advanced Numerical Analysis Techniques
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