2 citations · 2 across the 5 of their papers we have counts for
5 papers
Right groups, left quasigroups, and right heaps
Andrea Albano, Alberto Facchini, Marzia Mazzotta +1
A right group is a semigroup in which, for every , there is a unique such that . In this article, we develop the theory of heaps starting…
Action accessibility in the variety of skew braces
Andrea Albano, Paola Stefanelli
In this paper, we answer negatively to a question posed in the context of the 2025 Oberwolfach Mini-Workshop ``The Yang-Baxter Equation and Representations of Braid Groups'' regard…
Right groups and the set-theoretic Yang-Baxter equation
Andrea Albano, Alberto Facchini, Marzia Mazzotta +1
In this paper, we provide techniques to obtain left non-degenerate set-theoretic solutions of the Yang-Baxter equation, drawing on the class of right groups. To this end, we introd…
Generalized digroups, di-skew braces, and solutions of the set-theoretic Yang-Baxter equation
Andrea Albano, Paola Stefanelli
We introduce a novel algebraic structure called di-skew brace by which we show that generalized digroups systematically yield bijective, non-degenerate solutions to the set-theoret…
Reflections to set-theoretic solutions of the Yang-Baxter equation
Andrea Albano, Marzia Mazzotta, Paola Stefanelli
The main aim of this paper is to determine reflections to bijective and non-degenerate solutions of the Yang-Baxter equation, by exploring their connections with their derived solu…