1 citations · 1 across the 18 of their papers we have counts for
Showing 2025Show all
3 papers · 1 filter
math.QA2025
On indecomposable involutive solutions to the Yang-Baxter equation whose squaring map is a -cycle
Marco Castelli, Arpan Kanrar
The pioneering work of Rump, which proved Gateva-Ivanova's conjecture concerning the decomposability of square-free solutions to the Yang-Baxter equation, significantly motivated f…
math.QA2025
One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation
Marco Castelli
We study the class of one-generator solutions to the Yang-Baxter equation, extending some recent results concerning the classes of involutive and multipermutation solutions. Moreov…
math.QA2025
Involutive (simple) latin solutions of the Yang-Baxter equation and related (left) quasigroups
Marco Bonatto, Marco Castelli
In this paper, we study involutive non-degenerate set-theoretic solutions of the Yang-Baxter equation with regular displacement group. In particular, we completely describe the blo…