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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,…