List of Publications

Published

1. 1. M. Mazzotta, A family of set-theoretic solutions of the Yang-Baxter equation coming from skew braces, Banach Center Publ., 129, Institute of Mathematics, Polish Academy of Sciences, Warsaw, 2025, 115-123.

DOI: http://dx.doi.org/10.4064/bc129-7, ISBN: 978-83-86806-59-1

1. 2. A. Albano, M. Mazzotta, P. Stefanelli: Reflections to set-theoretic solutions of the Yang-Baxter equation,  J. Algebra 676,  (2025),  106-138.

DOI: https://doi.org/10.1016/j.jalgebra.2025.03.034, preprint arXiv

1. 3. M. Mazzotta,  Set-theoretical solutions to the pentagon equation: a survey,  Commun. Math. 33 (3)(2025) Paper No. 2, 17.

      URL: https://cm.episciences.org/13549, preprint arXiv

1. 4. M. Mazzotta, B. Rybołowicz, P. Stefanelli: Deformed solutions of the Yang-Baxter associated to dual weak braces, Ann. Mat. Pura Appl. 204, 711–731 (2025).

DOI: https://doi.org/10.1007/s10231-024-01502-7, preprint arXiv

1. 5. M. Mazzotta: Idempotent set-theoretical solutions of the pentagon equation, Boll. Unione Mat. Ital.  17, 457 - 469 (2024).

DOI: https://doi.org/10.1007/s40574-023-00382-8, preprint arXiv

1. 6. M. Mazzotta, V. Pérez-Calabuig, P. Stefanelli: Set-theoretical solutions of the pentagon equation on Clifford semigroups,  Semigroup Forum 108 (2024), 413-431.

DOI: https://doi.org/10.1007/s00233-024-10421-1, preprint arXiv

1. 7. F. Catino, M. Mazzotta, P. Stefanelli: Solutions of the Yang-Baxter equation and strong semilattices of skew braces, Mediterr. J. Math., 21, 67 (2024).

DOI: https://doi.org/10.1007/s00009-024-02611-6, preprint arXiv

1. 8. F. Catino, M. Mazzotta, P. Stefanelli: Rota-Baxter operators on Clifford semigroups and the Yang-Baxter equation, J. Algebra 622 (2023) 587–613.

DOI:  https://doi.org/10.1016/j.jalgebra.2023.02.013, preprint arXiv

1. 9. 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. 

DOI: https://doi.org/10.1007/s00233-022-10264-8, preprint arXiv

1. 10. M. Castelli, M. Mazzotta, P. Stefanelli: Simplicity of indecomposable set-theoretic solutions of the Yang-Baxter equation, Forum Mathematicum, vol. 34, no. 2, 2022, pp. 531-546.

DOI: https://doi.org/10.1515/forum-2021-0189, preprint arXiv 

1. 11. F. Catino, M. Mazzotta, P. Stefanelli: Inverse semi-braces and the Yang-Baxter equation, J. Algebra 573 (2021) 576–619.

DOI: https://doi.org/10.1016/j.jalgebra.2021.01.009,  preprint arXiv

1. 12. F. Catino, M. Mazzotta, P. Stefanelli: Set-theoretical solutions of the Yang-Baxter and pentagon equations on semigroups, Semigroup Forum 101 (2020) 259-284.

DOI:  https://doi.org/10.1007/s00233-020-10100-x , preprint arXiv

1. 13. F. Catino, M. Mazzotta, M.M. Miccoli: Set-theoretical solutions of the pentagon equation on groups, Comm. Algebra 48 (2020) 83–92.

DOI: https://doi.org/10.1080/00927872.2019.1632331, preprint arXiv