Paola Stefanelli

activity

20192026

most citedRota-Baxter operators on Clifford semigroups and the Yang-Baxter equation

16 citations · 77 across the 22 of their papers we have counts for

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4 papers · 1 filter

math.GR2026

Right groups, left quasigroups, and right heaps

Andrea Albano, Alberto Facchini, Marzia Mazzotta +1

A right group is a semigroup $(S, \cdot)$ in which, for every $a, b \in S$ , there is a unique $x \in S$ such that $a \cdot x = b$ . In this article, we develop the theory of heaps starting…

math.GR2026

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…

math.GR2023★ 4 cited

Set-theoretical solutions of the pentagon equation on Clifford semigroups

Marzia Mazzotta, Vicent Pérez-Calabuig, Paola Stefanelli

Given a set-theoretical solution of the pentagon equation $s : S \times S \to S \times S$ on a set $S$ and writing $s (a, b) = (a \cdot b, θ_{a} (b))$ , with $\cdot$ a binary operation on $S$ …

math.GR2022★ 1 cited

Affine structures on groups and semi-braces

Paola Stefanelli

We introduce affine structures on groups and show they form a category equivalent to that of semi-braces. In particular, such a new description of semi-braces includes that present…