26 citations · 42 across the 3 of their papers we have counts for
3 papers
math.QA2020★ 8 cited
Nilpotency in left semi-braces
Francesco Catino, Ferran Cedó, Paola Stefanelli
We introduce left and right series of left semi-braces. This allows to define left and right nilpotent left semi-braces. We study the structure of such semi-braces and generalize s…
math.QA2020★ 8 cited
Inverse semi-braces and the Yang-Baxter equation
Francesco Catino, Marzia Mazzotta, Paola Stefanelli
The main aim of this paper is to provide set-theoretical solutions of the Yang-Baxter equation that are not necessarily bijective, among these new idempotent ones. In the specific,…
math.GR2017★ 26 cited
A characterization of finite multipermutation solutions of the Yang-Baxter equation
D. Bachiller, F. Cedó, L. Vendramin
We prove that a finite non-degenerate involutive set-theoretic solution (X,r) of the Yang-Baxter equation is a multipermutation solution if and only if its structure group G(X,r) a…