Preprints
A. Albano, M. Mazzotta, P. Stefanelli: Reflections to set-theoretic solutions of the Yang-Baxter equation, preprint arXiv:2405.19105.
A. Doikou, B. Rybołowicz, P. Stefanelli: Quandles as pre-Lie skew braces, set-theoretic Hopf algebras & universal R-matrices, Preprint arXiv:2401.12704.
M. Mazzotta, B. Rybołowicz, P. Stefanelli: Deformed solutions of the Yang-Baxter equation associated to dual weak braces, Preprint arXiv:2304.05235.
Accepted for publication
P. Stefanelli: Dual weak braces and Płonka sums of solutions of the Yang-Baxter equation, Proceedings LOOPS'23, Będlewo, Banach Center Publications, Institute of Mathematics, Polish Academy of Sciences, Warszawa.
Published (reverse chronological order)
M. Mazzotta, V. Pérez-Calabuig, P. Stefanelli: Set-theoretical solutions of the pentagon equation on Clifford semigroups, Semigroup Forum (2024) 108 (2024), 413-431.
F. Catino, M. Mazzotta, P. Stefanelli: Solutions of the Yang-Baxter Equation and Strong Semilattices of Skew Braces, Mediterr. J. Math. 21, 67 (2024).
P. Stefanelli: Semi-affine structures on groups and semi-braces, J. Pure Appl. Algebra 227 (2023), no. 9, Paper No. 107383, 19 pp. (Preprint arXiv:2207.05000).
F. Catino, M. Mazzotta, P. Stefanelli: Rota-Baxter operators on Clifford semigroups and the Yang-Baxter equation, J. Algebra 622 (2023), 587–613.
F. Catino, F. Cedó, P. Stefanelli: Nilpotency in left semi-braces, J. Algebra 604 (2022) 128–161.
F. Catino, M. Mazzotta, M.M. Miccoli, P. Stefanelli: Set-theoretic solutions of the Yang-Baxter equation associated to weak braces, Semigroup Forum 104 (2) (2022) 228-255.
M. Castelli, F. Catino, P. Stefanelli: Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and dynamical extensions of q-cycle sets, J. Algebra Appl., 21 (2022), no. 8, Paper No. 2250154.
M. Castelli, M. Mazzotta, P. Stefanelli: Simplicity of indecomposable set-theoretic solutions of the Yang-Baxter equation, Forum Math., 34 (2022) no. 2, 531–546.
M. Castelli, F. Catino, P. Stefanelli: Indecomposable involutive set-theoretic solutions of the Yang-Baxter equation and orthogonal dynamical extensions of cycle sets, Mediterr. J. Math. 18 (2021), no. 6, 246.
F. Catino, I. Colazzo, P. Stefanelli: Set-theoretic solutions to the Yang-Baxter equation and generalized semi-braces, Forum Math., 33 (2021), no. 3, 757–772.
F. Catino, M. Mazzotta, P. Stefanelli: Inverse semi-braces and the Yang-Baxter equation, J. Algebra, 573 (2021) 576–619.
F. Catino, M. Mazzotta, P. Stefanelli: Set-theoretical solutions of the Yang–Baxter and pentagon equations on semigroups, Semigroup Forum 101 (2) (2020) 259–284.
F. Catino, I. Colazzo, P. Stefanelli: The Matched Product of the Solutions to the Yang–Baxter Equation of Finite Order, Mediterr. J. Math. 17, 58 (2020).
F. Catino, I. Colazzo, P. Stefanelli: The matched product of set-theoretic solutions of the Yang-Baxter equation, J. Pure Appl. Algebra 224 n.3 (2020), 1173–1194.
F. Catino, I. Colazzo, P. Stefanelli: Skew left braces with non-trivial annihilator, J. Algebra Appl., 18 no.2 (2019), 1950033.1–23.
F. Catino, I. Colazzo, P. Stefanelli: Semi-braces and the Yang-Baxter equation, J. Algebra, 483 (2017), 163–187.
F. Catino, I. Colazzo, P. Stefanelli: Regular subgroups of the affine group and asymmetric product of radical braces, J. Algebra, 455 (2016), 164–182.
F. Catino, I. Colazzo, P. Stefanelli: On regular subgroups of the affine group, Bull. Aust. Math. Soc., 91 (2015), 76–85.