On Lie-holomorphs of Leibniz Algebras (with G. La Rosa), Results in Mathematics 81 (2026), no. 165. ISSN: 1420-9012. DOI: 10.1007/s00025-026-02704-6
On Actions and Split Extensions in Varieties of Hoops: The Case of Strong Section (with G. Metere and F. Piazza), Studia Logica (2026). ISSN: 1572-8730. DOI: 10.1007/s11225-026-10243-y
Coherent and ideal actions in ideally exact categories (with G. Metere and F. Piazza), Theory and Applications of Categories 45 (2026), no. 31, 1280-1320. ISSN: 1201-561X. http://www.tac.mta.ca/tac/volumes/45/31/45-31abs.html
Action accessible and weakly action representable varieties of algebras (with X. García-Martínez), Bollettino dell’Unione Matematica Italiana 19 (2026), no. 2, 367-374. ISSN: 2198-2759. DOI: 10.1007/s40574-025-00496-1
Corrigendum: On the representability of actions of Leibniz algebras and Poisson algebras (with A. S. Cigoli and G. Metere), Proceedings of the Edinburgh Mathematical Society 68 (2025), no. 4, 1419-1420. ISSN: 1464-3839. DOI: 10.1017/S0013091525100941
Weak representability of actions of non-associative algebras (with J. Brox, X. García-Martínez, T. Van der Linden and C. Vienne), Journal of Algebra 669 (2025), 401-444. ISSN: 1090-266X. DOI: 10.1016/j.jalgebra.2025.02.007
Non-nilpotent Leibniz Algebras with One-Dimensional Derived Subalgebra (with A. Di Bartolo and G. La Rosa), Mediterranean Journal of Mathematics 21 (2024), no. 138. ISSN: 1660-5454. DOI: 10.1007/s00009-024-02679-0
Isotopisms of nilpotent Leibniz algebras and Lie racks (with G. La Rosa and G. P. Nagy), Communications in Algebra 52 (2024), no. 9, 3812-3825. ISSN: 1532-4125. DOI: 10.1080/00927872.2024.2330686
On the representability of actions of Leibniz algebras and Poisson algebras (with A. S. Cigoli and G. Metere), Proceedings of the Edinburgh Mathematical Society 66 (2023), no. 4, 998-1021. ISSN: 1464-3839. DOI: 10.1017/S0013091523000548
Derivations of two-step nilpotent algebras (with G. La Rosa), Communications in Algebra 51 (2023), no. 12, 4928-4948. ISSN: 1532-4125. DOI: 10.1080/00927872.2023.2222415
Two-step nilpotent Leibniz algebras (with G. La Rosa), Linear Algebra and its Applications 637 (2022), 119-137. ISSN: 0024-3795. DOI: 10.1016/j.laa.2021.12.013
Dalla Teoria della Probabilità alla Crittografia: un’analisi di caso (with A. Di Cola), Quaderni di Ricerca in Didattica 2 (2019), no. 1, 1-22. ISSN: 1592-4424. https://sites.unipa.it/grim/QRD_2_2019_Mancini.pdf
Ideally Exact Categories, Varieties of Universal Algebras and Multi-Valued Logics (with F. Piazza). In: B. Vantaggi, et al. (eds), Information Processing and Management of Uncertainty in Knowledge-Based Systems, Part II. IPMU 2026. Communications in Computer and Information Science 3020 (2026), no. 19, pp. 262-276. Springer, Cham. ISSN: 1865-0937. DOI: 10.1007/978-3-032-28997-1_19
On split extensions of product hoops (with G. Metere, F. Piazza and M. E. Tabacchi). 2025 IEEE International Conference on Fuzzy Systems (FUZZ), Reims, France, 2025, 1-5. ISSN: 1558-4739. DOI: 10.1109/FUZZ62266.2025.11152177
Fuzziness and Lie Algebras (with G. Filippone, G. La Rosa and M. E. Tabacchi). In: M.-J. Lesot, et al. (eds), Information Processing and Management of Uncertainty in Knowledge-Based Systems, Volume 2. IPMU 2024. Lecture Notes in Networks and Systems 1175 (2025), no. 10, 113-123. Springer, Cham. ISSN: 2367-3370. DOI: 10.1007/978-3-031-74000-8_10
Biderivations of Low-Dimensional Leibniz Algebras. In: H. Albuquerque, J. Brox, C. Martínez, P. Saraiva (eds.), Non-Associative Algebras and Related Topics. NAART 2020. Springer Proceedings in Mathematics & Statistics 427 (2023), no. 8, 127-136. Springer, Cham. ISSN: 2194-1009. DOI: 10.1007/978-3-031-32707-0_8
Fuzzy ontology-based explainable Artificial Intelligence for the geo-thematic field (with G. Filippone, M. Galici, G. Giacopelli, G. La Rosa, M. E. Tabacchi and D. Tegolo), FMsquare Foundation (2026), Springer. Accepted for publication.
Galois connections and categorical forms of the Fundamental Theorem of Galois Theory (with Tim Van der Linden), in preparation.
M. Mancini. Actions in varieties of non-associative algebras, submitted.
On the representability of actions of unital algebras (with F. Piazza and C. Vienne), submitted, preprint arXiv:2503.04488.
Weak action representability of 2-nilpotent groups (with A. Dioguardi Burgio and T. Van der Linden), submitted, preprint arXiv:2604.22578.
Molnár’s theorem for split C*-by-nilpotent algebras (with M. Galici, G. La Rosa and G. P. Nagy), submitted.
Jose Brox (Universidad de Valladolid, Spain)
Alessandro Dioguardi Burgio (Università degli Studi di Palermo, Italy)
Alan S. Cigoli (Università degli Studi di Torino, Italy)
Alfonso Di Bartolo (Università degli Studi di Palermo, Italy)
Andrea Di Cola (Università degli Studi di Palermo, Italy)
Giuseppe Filippone (Università degli Studi di Palermo, Italy)
Mario Galici (Università del Salento, Italy)
Xabier García Martínez (Universidade de Santiago de Compostela, Spain)
Giuseppe Giacopelli (Università degli Studi di Palermo, Italy)
Gianmarco La Rosa (Università degli Studi di Palermo, Italy)
Giuseppe Metere (Università degli Studi di Milano Statale, Italy)
Gábor P. Nagy (Szegedi Tudományegyetem, Hungary)
Federica Piazza (Università degli Studi di Messina, Italy)
Marco Elio Tabacchi (Università degli Studi di Palermo, Italy)
Domenico Tegolo (Università degli Studi di Palermo, Italy)
Tim Van der Linden (Université catholique de Louvain, Belgium)
Corentin Vienne (Università degli Studi di Milano Statale, Italy)
June 2025 – Institut de Recherche en Mathématique et Physique of the Université catholique de Louvain, Belgium. Research focus: Fuzzy Logic and Categorical Algebra (with Prof. Tim Van der Linden).
March 2025 – Dipartimento di Scienze per gli Alimenti, la Nutrizione e l'Ambiente of the Università degli Studi di Milano Statale, Italy. Research focus: Fuzzy Logic and Categorical Algebra (with Prof. Giuseppe Metere).
February 2025 – Dipartimento di Matematica “G. Peano” of the Università degli Studi di Torino, Italy. Research focus: Representability of actions in categories of non-associative K-algebras (with Prof. Alan S. Cigoli).
October 2022 – January 2023, April – May 2023, November 2023 and June 2024 – Institut de Recherche en Mathématique et Physique of the Université catholique de Louvain, Belgium. Research focus: Weak representability of actions of non-associative algebras (with Prof. Tim Van der Linden).
October 2023 – Bolyai Intézet (Mathematical Institute) of the Szegedi Tudományegyetem (University of Szeged, Hungary. Research focus: Algebraic properties of the Kubo-Ando means and its local expansion (with Prof. Gabor P. Nagy).
January 2023 – Departamento de Matemáticas of the Universidade de Santiago de Compostela, Spain. Research focus: Weak representability of actions of non-associative algebras (with Prof. Xabier García-Martínez and Prof. Manuel Ladra).
Member of the “Category Theory” research group at the Institut de Recherche en Mathématique et Physique of the Université catholique de Louvain, Belgium, since October 2024. The research group is directed by Prof. Marino Gran, Prof. Tim Van der Linden, and Prof. Enrico Vitale.
Member of the research group “Sustainability Decision Framework – SDF” (n. F/310060/01-02/X56, MISE 31/12/2021, CUP: B79J23000530005, COR: 14019279) at the Dipartimento di Matematica e Informatica of the Università degli Studi di Palermo, Italy, from May 2024 to June 2026. The research group was directed by Prof. Marco Elio Tabacchi.
Member of the research group “Homology, homotopy and categorical invariants in groups and non-associative algebras” (PID2020–115155GB-I00) at the Departamento de Matemáticas of the Universidade de Santiago de Compostela, Spain, from September 2021 to April 2026. The research group was directed by Prof. Manuel Eulogio Ladra Gonzalez.
Member of the “National Group for Algebraic and Geometric Structures and their Applications” (GNSAGA – INdAM), Section 4: Algebraic Structures and Combinatorial Geometry since January 2021.
Member of PAMCS – Palermo Association of Mathematics and Computer Science since 2026.
Member of EUSFLAT – European Society for Fuzzy Logic and Technology since 2026.
Member of the UMI – Unione Matematica Italiana since 2024.
Reviewer for zbMATH and MathSciNet since 2024.
Referee for several indexed international journals: Advanced Studies: Euro-Tbilisi Mathematical Journal, Communications in Algebra, Communications in Computer and Information Science, Italian Journal of Pure and Applied Mathematics, Le Matematiche, Lecture Notes in Artificial Intelligence, Lecture Notes in Networks and Systems, Theory and Applications of Categories.