Marino Gran's preprints and publications
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Central extensions of preordered groups (with A. Michel), Bulletin de la Société Mathématique de France, 2023.
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Conditional flatness, fiberwise localizations, and admissible reflections (with J. Scherer) Journal of the Australian Mathematical Society, 2023.
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Groupoids and skeletal categories form a pretorsion theory in Cat (with F. Borceux, F. Campanini and W. Tholen) Advances in Mathematics, 426, 109110, 2023.
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Pretorsion theories in lextensive categories (with F. Borceux and F. Campanini) accepted in Israel Journal of Mathematics, 2022.
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The stable category of preorders in a pretopos II: the universal property (with F. Borceux and F. Campanini) Annali di Matematica Pura e Applicata, 201, 2847-2869, 2022.
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The stable category of preorders in a pretopos I: General theory (with F. Borceux and F. Campanini) Journal of Pure and Applied Algebra, 2021, 106997.
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An introduction to regular categories, in New perspectives in Algebra, Topology and Categories Coimbra Mathematical Texts, Vol. 1, Eds. M.M. Clementino, A. Facchini and M. Gran, Springer, 113-145, 2021.
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Action representability of the category of internal groupoids (with J. R. Gray) Theory and Applications of Categories, Vol. 37 (1) 2021, 1-13.
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Torsion theories and coverings of preordered groups (with A. Michel), Algebra Universalis, 82, 22, 2021.
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On the naturalness of Mal'tsev categories (with D. Bourn and P.-A. Jacqmin), Joachim Lambek: the interplay of Mathematics, Logic and Linguistics Outstanding Contributions to Logic, Vol. 20, Eds. C. Casadio and P. Scott, Springer, 59-104, 2021.
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Pretorsion theories in general categories (with A. Facchini and C. Finocchiaro), Journal of Pure and Applied Algebra, Vol. 225, 2021, 106503.
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Unusual spectral categories (with M.J. Arroyo Paniagua, A. Facchini and G. Janelidze), Rendiconti del Seminario Matematico dell'Università di Padova, Vol.144, 2020, 13-25.
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A new Galois structure in the category of internal preorders (with A. Facchini and C. Finocchiaro), Theory and Applications of Categories, Vol. 35 (11) 2020, 326-349.
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What is the spectral category? (with M.J. Arroyo Paniagua, A. Facchini and G. Janelidze), Advances in Rings, Modules and Factorizations, Springer Proceedings in Mathematics and Statistics, Vol. 321, 2020, 135-152.
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Facets of congruence distributivity in Goursat categories (with D. Rodelo and I. Tchoffo Nguefeu), Journal of Pure and Applied Algebra, 224 (10), 2020, 106380.
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Galois theory and the categorical Peiffer commutator (with A.S. Cigoli, A. Duvieusart and S. Mantovani), Homology, Homotopy and Applications, 22 (2) 2020, 323-346
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Monoidal characterisation of groupoids and connectors (with C. Heunen and S. Tull), Topology and Its Applications, Vol. 273, 2020, 106966.
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Split extensions and semidirect products of unitary magmas (with G. Janelidze and M. Sobral), Comment. Math. Univ. Carolin., 60 (4) 2019, 509-527.
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A semi-abelian extension of a theorem by Takeuchi (with F. Sterck and J. Vercruysse), Journal of Pure and Applied Algebra, Vol. 223 (10) 2019, 4171-4190.
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Variations of the Shifting Lemma and Goursat categories (with D. Rodelo and I. Tchoffo Nguefeu), Algebra Universalis, Vol. 80:2, 2019, 1-12.
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A relative monotone-light factorisation system for internal groupoids (with A. Cigoli and T. Everaert), Applied Categorical Structures, Vol. 26 (5) 2018, 931-942.
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Some remarks on protolocalisations and protoadditive reflections (with M.M. Clementino and G. Janelidze), Journal of Algebra and Its Applications, Vol. 17 (11), 2018, 1850207, 16 pp.
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Higher commutator conditions for extensions in Mal'tsev categories (with A. Duvieusart), Journal of Algebra, 515, 2018, 298-327.
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Split extension classifiers in the category of cocommutative Hopf algebras (with G. Kadjo and J. Vercruysse), Bulletin of the Belgian Mathematical Society S. Stevin, Vol. 25, 3, 2018, 355-382.
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Some remarks on connectors and groupoids in Goursat categories (with D. Rodelo and I. Tchoffo Nguefeu), Logical Methods in Computer Science, Vol.13, 3, 2017, 1-12.
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Epireflective subcategories and formal closure operators (with M. Duckerts-Antoine and Z. Janelidze), Theory and Applications of Categories, Vol. 32, No. 15, 2017, 526-546.
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Beck-Chevalley condition and Goursat categories (with D. Rodelo), Journal of Pure and Applied Algebra, Vol. 221, 10, 2017, 2445-2457.
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Semi-localizations of semi-abelian categories (with S. Lack), Journal of Algebra, 454, 2016, 206-232.
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Closure operators in the category of quandles (with V. Even), Topology and its Applications, 200, 1, 2016, 237-250.
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A characterization of central extensions in the variety of quandles (with V. Even and A. Montoli), Theory and Applications of Categories, Vol. 31, 8, 2016, 201-216.
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A torsion theory in the category of cocommutative Hopf algebras (with G. Kadjo and J. Vercruysse), Applied Categorical Structures, Vol. 24, 3, 2016, 269-282.
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Some aspects of semi-abelian homology and protoadditive functors (with T. Everaert), Journal of Generalized Lie Theory and Applications, Volume 9:238, 2015, 1000238.
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Protoadditive functors, derived torsion theories and homology, (with T. Everaert), Journal of Pure and Applied Algebra, 219, 8, 2015, 3629-3676.
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Some remarks on pullbacks in Gumm categories (with D. Rodelo), Texts on Mathematics, 46, University of Coimbra, 2014, 125-136.
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Weighted commutators in semi-abelian categories (with G. Janelidze and A. Ursini), Journal of Algebra, 397, 2014, 643-665.
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On factorization systems for surjective quandle homomorphisms, (with V. Even), Journal of Knot Theory and Its Ramifications, Vol. 23, No. 11, 2014, 1450060.
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The Cuboid Lemma and Mal'tsev categories, (with D. Rodelo), Applied Categorical Structures, Vol. 22, 2014, 805-816.
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On 2-star-permutability in regular multi-pointed categories (with D. Rodelo), Journal of Algebra and its Applications, Vol. 13, No. 8, 2014, 1450068.
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Star-regularity and regular completions (with Z. Janelidze), Journal of Pure and Applied Algebra, 218, No. 2, 2014, 1771-1782.
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Effective descent morphisms in star-regular categories (with O. Ngaha), Homology, Homotopy and Applications, Vol. 15, No 2, 2013, 127-144.
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Monotone-light factorisation systems and torsion theories (with T. Everaert), Bulletin des Sciences Mathématiques, 137, 2013, 996-1006.
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Symmetry of regular diamonds, the Goursat property, and subtractivity, (with Z. Janelidze, D. Rodelo and A. Ursini), Theory and Applications of Categories , Vol. 27, No. 6, 2012, 80-96.
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On the characterisation of Jónsson-Tarski and of subtractive varieties (with D. Rodelo), Diagrammes, Suppl. Vol. 67-68, 2012, 101-116.
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3 x 3 lemma for star-exact sequences, (with Z. Janelidze and D. Rodelo), Homology, Homotopy and Applications, Vol. 14, No 2, 2012, 1-22.
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A New Characterisation of Goursat Categories (with D. Rodelo), Applied Categorical Structures, Vol. 20, No 3, 2012, 229-238.
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A description of the fundamental group in terms of commutators and closure operators, (with M. Duckerts and T. Everaert), Journal of Pure and Applied Algebra, Vol. 216, 2012, 1837-1851.
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A good theory of ideals in regular multi-pointed categories, (with Z. Janelidze and A. Ursini), Journal of Pure and Applied Algebra, Vol. 216, 2012, 1905-1919.
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Homology of n-fold groupoids, (with T. Everaert), Theory and Applications of Categories, Vol. 23, No. 2, 2010, 22-41.
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Covering morphisms and normal extensions in Galois structures associated with torsion theories, (with G. Janelidze), Cahiers de Topologie et Géométrie Différentielle Catégoriques, L-3, 2009, 171-188.
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Higher Hopf formulae for homology via Galois theory, (with T. Everaert and T. Van der Linden), Advances in Mathematics, Vol. 217, 2008, 2231-2267.
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On the second cohomology group in semi-abelian categories , (with T. Van der Linden), Journal of Pure and Applied Algebra, Vol. 212, 2008, 636-651.
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Protolocalisations of homological categories, (with F. Borceux, M.M. Clementino and L. Sousa), Journal of Pure and Applied Algebra, Vol. 212, 2008, 1898-1927.
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Protolocalisations of exact Mal´cev categories, (with F. Borceux et S. Mantovani), Theory and Applications of Categories , Vol. 21, No. 3, 2008, 37-60.
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A universal construction in Goursat categories, (with D. Rodelo), Cahiers de Topologie et Géométrie Différentielle Catégoriques, XVIX-3, 2008, 196-208.
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On low-dimensional homology in categories(with T. Everaert), Homology, Homotopy and Applications, Vol. 9, No. 1, 2007, 275-293.
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On closure operators and reflections in Goursat categories, (with F. Borceux and S. Mantovani), Rendiconti dell'Istituto Matematico di Trieste,Vol. 39, 2007, 87-104;
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Torsion theories and Galois coverings of topological groups, (with V. Rossi), Journal of Pure and Applied Algebra, 208, 2007, 135-151.
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Relative commutator associated with varieties of n-nilpotent and of n-solvable groups, (with T. Everaert),
Archivum Mathematicum, Vol. 42, No. 4, 2006, 387-396.
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Torsion theories in homological categories, (with D. Bourn), Journal of Algebra, 305, 2006, 18-47.
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Precrossed modules and Galois Theory,
(with T. Everaert ), Journal of Algebra, 297, 2006, 292-309.
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Galois Theory and Double Central Extensions, (with V. Rossi), Homology, Homotopy and Applications, Vol. 6, No. 1, 2004, 283-298.
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Special reflexive graphs in modular varieties, (with J. Rosický), Algebra Universalis, 52, 2004, 89-102.
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Semi-abelian monadic categories, (with J. Rosický), Theory and Applications of Categories, Vol. 13, No. 6, 2004, 106-113.
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Applications of Categorical Galois Theory in Universal Algebra, in "Galois Theory, Hopf Algebras and Semiabelian Categories", The Fields Institute Communications Series, Vol. 43, 2004, 243-280.
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Categorical aspects of modularity, (with D. Bourn), in "Galois Theory, Hopf Algebras and Semiabelian Categories", The Fields Institute Communications Series, Vol. 43, 2004, 77-100.
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Normal sections and direct product decompositions, (with D. Bourn), Communications in Algebra, Vol. 32, No. 10, 2004, 3825-3842.
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Regular, Protomodular and Abelian Categories, (with D. Bourn), in Categorical Foundations - Special Topics in Order, Topology, Algebra and Sheaf Theory, Eds. M.C. Pedicchio and W. Tholen, Cambridge University Press, Encyclopedia of Mathematics and its Applications 97, 2004, 165-211.
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Centrality and connectors in Maltsev categories, (with D. Bourn), Algebra Universalis, 48 (3), 2002, 309-331.
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Semi-abelian exact completions, Homology, Homotopy and Applications, Vol. 4 (1), 2002, 175-189.
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Central extensions in semi-abelian categories, (with D. Bourn), Journal of Pure and Applied Algebra, 175, 2002, 31-44.
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Commutators and central extensions in universal algebra, Journal of Pure and Applied Algebra, 174, 2002, 249-261.
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Centrality and normality in protomodular categories, (with D. Bourn), Theory and Applications of Categories, Vol. 9, No. 8, 2002, 151-165.
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n-permutable locally finitely presentable categories, (with M.C. Pedicchio), Theory and Applications of Categories , Vol. 8, No. 1, 2001, 1-15.
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Central extensions and internal groupoids in Maltsev categories, Journal of Pure and Applied Algebra, 155, 2001, 139-166.
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Localizations of Maltsev varieties, (with E. Vitale), Theory and Applications of Categories, Vol. 5, No. 12, 1999, 281-291.
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Internal categories in Mal´cev categories, Journal of Pure and Applied Algebra, 143, 1999, 221-229.
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On the exact completion of the homotopy category, (with E. Vitale), Cahiers de Topologie et Géométrie Différentielle Catégoriques, XXXIX-4, 1998, 287-297.
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Habilitation
[UCL]
[SC] [MATH]
Last modified 7 August 2014