activity
20172026
most citedRadical and weight of skew braces and their applications to structure groups of solutions of the Yang-Baxter equation

24 citations · 58 across the 9 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.RA2023

Simple solutions of the Yang-Baxter equation

Ilaria Colazzo, Eric Jespers, Łukasz Kubat +1

We study simple set-theoretic solutions of the Yang-Baxter equation that are finite and non-degenerate. Such retractable solutions are fully described and to investigate the irretr…

math.CO2023

Common divisor graphs for skew braces

Silvia Properzi, Arne Van Antwerpen

We introduce two common divisor graphs associated with a finite skew brace, based on its - and -orbits. We prove that the number of connected components is at most two and th…

math.RA2023

Structure algebras of finite set-theoretic solutions of the Yang--Baxter equation

Ilaria Colazzo, Eric Jespers, Łukasz Kubat +1

Quadratic algebras related to some classes of finite left non-degenerate solutions (X,r) of the Yang--Baxter equation have been intensively studied since they are the associative r…