English

Skew Braces from a model-theoretic point of view 1

Group Theory 2025-08-26 v1 Logic

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.

Keywords

Cite

@article{arxiv.2508.17951,
  title  = {Skew Braces from a model-theoretic point of view 1},
  author = {Maria Ferrara and Marco Trombetti and Moreno Invitti and Frank Olaf Wagner},
  journal= {arXiv preprint arXiv:2508.17951},
  year   = {2025}
}