Published papers, preprints, and selected mathematical notes.
The list below is ordered from newest to oldest. For journal publications, the first link points to the journal page or DOI. When available, I also include a link to an arXiv version or to an openly accessible PDF.
Published papers
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M. Mancini, G. Metere and F. Piazza,
Coherent and ideal actions in ideally exact categories,
Theory and Applications of Categories 45, no. 31 (2026), 1280–1320.
Journal · PDF · arXiv -
M. Mancini, G. Metere and F. Piazza,
On actions and split extensions in varieties of hoops: the case of strong section,
Studia Logica, online first, 2026.
Journal · arXiv -
S. Lapenta, G. Metere and L. Spada,
Relative ideals in homological categories, with an application to MV-algebras,
Theory and Applications of Categories 41, no. 27 (2024), 878–893.
Journal · PDF · arXiv -
A. S. Cigoli, M. Mancini and G. Metere,
On the representability of actions of Leibniz algebras and Poisson algebras,
Proceedings of the Edinburgh Mathematical Society 66, no. 4 (2023).
Journal · arXiv -
A. S. Cigoli, S. Mantovani and G. Metere,
The third cohomology 2-group,
Milan Journal of Mathematics 91 (2023), 315–330.
Journal · arXiv -
A. S. Cigoli, S. Mantovani and G. Metere,
On pseudofunctors sending groups to 2-groups,
Mediterranean Journal of Mathematics 20 (2023), article 17.
Journal · arXiv -
A. S. Cigoli, S. Mantovani, G. Metere and E. M. Vitale,
Fibred-categorical obstruction theory,
Journal of Algebra 593 (2022), 105–141.
Journal · PDF -
D. Bourn and G. Metere,
A note on the categorical notions of normal subobject and of equivalence class,
Theory and Applications of Categories 36, no. 3 (2021), 65–101. Journal
· PDF -
A. S. Cigoli, S. Mantovani and G. Metere,
Discrete and conservative factorizations in Fib(B),
Applied Categorical Structures 29 (2021), 249–265.
Journal · PDF · arXiv -
A. S. Cigoli, S. Mantovani, G. Metere and E. M. Vitale,
Fibered aspects of Yoneda’s regular span,
Advances in Mathematics 360 (2020), article 106899.
Journal · arXiv -
P.-A. Jacqmin, S. Mantovani, G. Metere and E. M. Vitale,
Bipullbacks of fractions and the snail lemma,
Journal of Pure and Applied Algebra 223, no. 12 (2019), 5147–5162.
Journal · arXiv -
S. Mantovani, G. Metere and E. M. Vitale,
The snail lemma for internal groupoids,
Journal of Algebra 535 (2019), 1–34.
Journal · arXiv -
G. Metere,
Distributors and the comprehensive factorization system for internal groupoids,
Theory and Applications of Categories 34, no. 5 (2019), 109–120.
PDF · arXiv -
P.-A. Jacqmin, S. Mantovani, G. Metere and E. M. Vitale,
On fibrations between internal groupoids and their normalizations,
Applied Categorical Structures 26 (2018), 1015–1039.
Journal · PDF -
A. S. Cigoli, S. Mantovani and G. Metere,
Peiffer product and Peiffer commutator for internal pre-crossed modules,
Homology, Homotopy and Applications 19, no. 1 (2017), 181–207.
Journal · arXiv · PDF -
G. Metere,
Bourn-normal monomorphisms in regular Mal’tsev categories,
Theory and Applications of Categories 32, no. 5 (2017), 122–147.
PDF · arXiv -
G. Metere,
A note on strong protomodularity, actions and quotients,
Journal of Pure and Applied Algebra 221 (2017), 75–88.
Journal · arXiv -
A. S. Cigoli and G. Metere,
Extension theory and the calculus of butterflies,
Journal of Algebra 458 (2016), 87–119.
Journal · PDF -
A. S. Cigoli, S. Mantovani and G. Metere,
A push forward construction and the comprehensive factorization for internal crossed modules,
Applied Categorical Structures 22 (2014), 931–960.
Journal · PDF -
A. S. Cigoli, G. Metere and A. Montoli,
Obstruction theory in action accessible categories,
Journal of Algebra 385 (2013), 27–46.
Journal · PDF -
S. Mantovani, G. Metere and E. M. Vitale,
Profunctors in Mal’cev categories and fractions of functors,
Journal of Pure and Applied Algebra 217 (2013), 1173–1186.
Journal -
O. Abbad, S. Mantovani, G. Metere and E. M. Vitale,
Butterflies in a semi-abelian context,
Advances in Mathematics 238 (2013), 140–183.
Journal · arXiv -
S. Kasangian, G. Metere and E. M. Vitale,
The ziqqurath of exact sequences of n-groupoids,
Cahiers de Topologie et Géométrie Différentielle Catégoriques LII-1 (2011).
PDF · arXiv -
S. Mantovani and G. Metere,
Normalities and commutators,
Journal of Algebra 324, no. 9 (2010), 2568–2588.
Journal · arXiv -
S. Mantovani and G. Metere,
Internal crossed modules and Peiffer condition,
Theory and Applications of Categories 23, no. 6 (2010), 113–135.
Journal · PDF -
G. Metere and A. Montoli,
Semidirect products of internal groupoids,
Journal of Pure and Applied Algebra 214, no. 10 (2010), 1854–1861.
Journal -
S. Kasangian, S. Mantovani, G. Metere and E. M. Vitale,
External derivations of internal groupoids,
Journal of Pure and Applied Algebra 212, no. 1 (2008), 175–192.
Journal · PDF -
S. Kasangian, G. Metere and E. M. Vitale,
Split extensions, semidirect product and holomorph of categorical groups,
Homology, Homotopy and Applications 8, no. 1 (2006), 145–167.
Journal · PDF
Conference papers
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S. Lapenta, G. Metere and L. Spada,
Relative ideals, homological categories and non-classical logics,
conference paper, LATD 2025 — Logic, Algebra and Truth Degrees, Siena, 2025.
PDF -
M. Mancini, G. Metere, F. Piazza and M. E. Tabacchi,
On split extensions of hoops,
conference paper, LATD 2025 — Logic, Algebra and Truth Degrees, Siena, 2025.
PDF -
M. Mancini, G. Metere, F. Piazza and M. E. Tabacchi,
On split extensions of product hoops,
conference paper, 2025 IEEE International Conference on Fuzzy Systems.
IEEE Xplore