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math.GR2025
On -isoclinism of skew braces
Risa Arai, Cindy Tsang
The purpose of this paper is to explore possible definitions of -isoclinism for skew braces. We also introduce the notions of verbal sub-skew braces and marginal left ideals.
math.GR2025
Analogs of the lower and upper central series in skew braces: a survey
Cindy Tsang
A skew brace is a ring-like and group-like algebraic structure that was introduced in the study of set-theoretic solutions to the Yang-Baxter equation. In this survey paper, we sha…