| Semi-braces and the Yang–Baxter equation F Catino, I Colazzo, P Stefanelli Journal of Algebra 483, 163-187, 2017 | 61 | 2017 |
| Regular subgroups of the affine group and radical circle algebras F Catino, R Rizzo Bulletin of the Australian Mathematical Society 79 (1), 103-107, 2009 | 57 | 2009 |
| Regular subgroups of the affine group and asymmetric product of radical braces F Catino, I Colazzo, P Stefanelli Journal of Algebra 455, 164-182, 2016 | 49 | 2016 |
| Skew left braces with non-trivial annihilator F Catino, I Colazzo, P Stefanelli Journal of Algebra and Its Applications 18 (02), 1950033, 2019 | 38 | 2019 |
| Magnifying elements in semigroups F Catino, F Migliorini Semigroup Forum 44, 314-319, 1992 | 37 | 1992 |
| Indecomposable involutive set-theoretic solutions of the Yang–Baxter equation M Castelli, F Catino, G Pinto Journal of Pure and Applied Algebra 223 (10), 4477-4493, 2019 | 35 | 2019 |
| On regular subgroups of the affine group F Catino, I Colazzo, P Stefanelli Bulletin of the Australian Mathematical Society 91 (1), 76-85, 2015 | 28 | 2015 |
| On semidirect product of semigroups F Catino, MM Miccoli Note di Matematica 9 (2), 189-194, 1989 | 28 | 1989 |
| The matched product of the solutions to the Yang–Baxter equation of finite order F Catino, I Colazzo, P Stefanelli Mediterranean Journal of Mathematics 17 (2), 58, 2020 | 22 | 2020 |
| The matched product of set-theoretical solutions of the Yang-Baxter equation F Catino, I Colazzo, P Stefanelli Journal of Pure and Applied Algebra 224 (3), 1173-1194, 2020 | 22 | 2020 |
| Inverse semi-braces and the Yang-Baxter equation F Catino, M Mazzotta, P Stefanelli Journal of Algebra 573, 576-619, 2021 | 21 | 2021 |
| Set-theoretic solutions to the Yang–Baxter equation and generalized semi-braces F Catino, I Colazzo, P Stefanelli Forum Mathematicum 33 (3), 757-772, 2021 | 19 | 2021 |
| A new family of set-theoretic solutions of the Yang–Baxter equation M Castelli, F Catino, G Pinto Communications in Algebra 46 (4), 1622-1629, 2018 | 19 | 2018 |
| Set-theoretical solutions of the Yang–Baxter and pentagon equations on semigroups F Catino, M Mazzotta, P Stefanelli Semigroup Forum 101 (2), 259-284, 2020 | 18 | 2020 |
| Factorizable semigroups F Catino Semigroup Forum 36, 167-174, 1987 | 18 | 1987 |
| Set-theoretic solutions of the Yang–Baxter equation associated to weak braces F Catino, M Mazzotta, MM Miccoli, P Stefanelli Semigroup Forum 104 (2), 228-255, 2022 | 17 | 2022 |
| Rota–Baxter operators on Clifford semigroups and the Yang–Baxter equation F Catino, M Mazzotta, P Stefanelli Journal of Algebra 622, 587-613, 2023 | 16 | 2023 |
| Set-theoretical solutions of the pentagon equation on groups F Catino, M Mazzotta, MM Miccoli Communications in Algebra 48 (1), 83-92, 2020 | 13 | 2020 |
| Nilpotency in left semi-braces F Catino, F Cedó, P Stefanelli Journal of Algebra 604, 128-161, 2022 | 12 | 2022 |
| Indecomposable Involutive Set-Theoretic Solutions of the Yang–Baxter Equation and Orthogonal Dynamical Extensions of Cycle Sets M Castelli, F Catino, P Stefanelli Mediterranean Journal of Mathematics 18 (6), 246, 2021 | 11 | 2021 |
