L.M.P.A
Laboratoire de Mathématiques Pures et Appliquées
Joseph Liouville

## 101 publications

• Split epimorphisms as a productive tool in universal algebra (), In Algebra Universalis, volume 82, .
• Extracting a $\Sigma$-Mal'tsev ($\Sigma$-protomodular) structure from a Mal'tsev (protomodular) subcategory (), In Appl. Categ. Structures, volume 27, .
• A note on the categorical congruence distributivity (), In Theory Appl. Categ., volume 34, .
• The $3\times3$ lemma in the $\Sigma$-Mal'tsev and $\Sigma$-protomodular settings. Applications to monoids and quandles ( and ), In Homology Homotopy Appl., volume 21, .
• Suprema of equivalence relations and non-regular Goursat categories (), In Cah. Topol. Géom. Différ. Catég., volume 59, .
• Central reflections and nilpotency in exact Mal'tsev categories ( and ), In J. Homotopy Relat. Struct., volume 12, .
• From groups to categorial algebra (), Birkhäuser/Springer, Cham, .
• On the classification property of the group $Aut\,K$ and its generalizations (), In Not. S. Afr. Math. Soc., volume 47, .
• Partial linearity and partial natural Mal'tsevness (), In Theory Appl. Categ., volume 31, .
• A note on the abelianization functor ( and ), In Comm. Algebra, volume 44, .
• Monoids and pointed $S$-protomodular categories (, , and ), In Homology Homotopy Appl., volume 18, .
• Normalizers and split extensions ( and ), In Appl. Categ. Structures, volume 23, .
• A structural aspect of the category of quandles (), In J. Knot Theory Ramifications, volume 24, .
• A note on the notion of characteristic subobject in the Mal'tsev and protomodular settings (), Chapter in Categorical methods in algebra and topology, Univ. Coimbra, Coimbra, volume 46, .
• Two ways to centralizers of equivalence relations (), In Appl. Categ. Structures, volume 22, .
• Schreier split epimorphisms between monoids (, , and ), In Semigroup Forum, volume 88, .
• Schreier split epimorphisms in monoids and in semirings (, , and ), Universidade de Coimbra, Departamento de Matemática, Coimbra, volume 45, .
• Normality, commutation and suprema in the regular Mal'tsev and protomodular settings (), In Cah. Topol. Géom. Différ. Catég., volume 54, .
• A characterisation of the "Smith is Huq" condition in the pointed Mal'tsev setting (, and ), In Cah. Topol. Géom. Différ. Catég., volume 54, .
• On the monad of internal groupoids (), In Theory Appl. Categ., volume 28, .
• Aspects of algebraic exponentiation ( and ), In Bull. Belg. Math. Soc. Simon Stevin, volume 19, .
• Intrinsic Schreier-Mac Lane extension theorem II: The case of action accessible categories ( and ), In J. Pure Appl. Algebra, volume 216, .
• Comprehensive factorization and $I$-central extensions ( and ), In J. Pure Appl. Algebra, volume 216, .
• Categorical (binary) difference terms and protomodularity ( and ), In Algebra Universalis, volume 66, .
• Centralizer and faithful groupoid (), In J. Algebra, volume 328, .
• Internal profunctors and commutator theory; applications to extensions classification and categorical Galois theory (), In Theory Appl. Categ., volume 24, .
• 2-catégories réductibles ( and ), In Repr. Theory Appl. Categ., .
• Centralizers in action accessible categories ( and ), In Cah. Topol. Géom. Différ. Catég., volume 50, .
• Subtractive categories and extended subtractions ( and ), In Appl. Categ. Structures, volume 17, .
• Pointed protomodularity via natural imaginary subtractions ( and ), In J. Pure Appl. Algebra, volume 213, .
• Approximate Mal\cprime tsev operations ( and ), In Theory Appl. Categ., volume 21, .
• The Mal\cprime tsev operation on extensions (), In Cah. Topol. Géom. Différ. Catég., volume 49, .
• Mal\cprime cev conditions revisited ( and ), In Appl. Categ. Structures, volume 16, .
• Commutator theory, action groupoids, and an intrinsic Schreier-Mac Lane extension theorem (), In Adv. Math., volume 217, .
• Abelian groupoids and non-pointed additive categories (), In Theory Appl. Categ., volume 20, .
• Distributive law, commutator theory and Yang-Baxter equation (), In JP J. Algebra Number Theory Appl., volume 8, .
• Moore normalization and Dold-Kan theorem for semi-abelian categories (), Chapter in Categories in algebra, geometry and mathematical physics, Amer. Math. Soc., Providence, RI, volume 431, .
• Split extension classifier and centrality ( and ), Chapter in Categories in algebra, geometry and mathematical physics, Amer. Math. Soc., Providence, RI, volume 431, .
• Cohomology without projectives ( and ), In Cah. Topol. Géom. Différ. Catég., volume 48, .
• Baer sums in homological categories (), In J. Algebra, volume 308, .
• Initial normal covers in bi-Heyting toposes (, and ), In Arch. Math. (Brno), volume 42, .
• Torsion theories in homological categories ( and ), In J. Algebra, volume 305, .
• Action groupoid in protomodular categories (), In Theory Appl. Categ., volume 16, .
• Normal subobjects of topological groups and of topological semi-abelian algebras (), In Topology Appl., volume 153, .
• Congruence distributivity in Goursat and Mal\cprime cev categories (), In Appl. Categ. Structures, volume 13, .
• Catégorification de structures définies par monade cartésienne ( and ), In Cah. Topol. Géom. Différ. Catég., volume 46, .
• On the direct image of intersections in exact homological categories (), In J. Pure Appl. Algebra, volume 196, .
• Fibration of points and congruence modularity (), In Algebra Universalis, volume 52, .
• Commutator theory in strongly protomodular categories (), In Theory Appl. Categ., volume 13, .
• Extensions with abelian kernels in protomodular categories ( and ), In Georgian Math. J., volume 11, .
• Normal sections and direct product decompositions ( and ), In Comm. Algebra, volume 32, .
• Categorical aspects of modularity ( and ), Chapter in Galois theory, Hopf algebras, and semiabelian categories, Amer. Math. Soc., Providence, RI, volume 43, .
• Commutator theory in regular Mal\cprime cev categories (), Chapter in Galois theory, Hopf algebras, and semiabelian categories, Amer. Math. Soc., Providence, RI, volume 43, .
• Protomodular aspect of the dual of a topos (), In Adv. Math., volume 187, .
• Regular, protomodular, and abelian categories ( and ), Chapter in Categorical foundations, Cambridge Univ. Press, Cambridge, volume 97, .
• Mal'cev, protomodular, homological and semi-abelian categories ( and ), Kluwer Academic Publishers, Dordrecht, volume 566, .
• Characterization of protomodular varieties of universal algebras ( and ), In Theory Appl. Categ., volume 11, .
• The denormalized $3\times3$ lemma (), In J. Pure Appl. Algebra, volume 177, .
• Extensions of symmetric cat-groups ( and ), In Homology Homotopy Appl., volume 4, .
• Centrality and connectors in Maltsev categories ( and ), In Algebra Universalis, volume 48, .
• Intrinsic centrality and associated classifying properties (), In J. Algebra, volume 256, .
• Central extensions in semi-abelian categories ( and ), Chapter in , volume 175, .
• Aspherical abelian groupoids and their directions (), Chapter in , volume 168, .
• Centrality and normality in protomodular categories ( and ), Chapter in , volume 9, .
• A categorical genealogy for the congruence distributive property (), In Theory Appl. Categ., volume 8, .
• $3\times3$ lemma and protomodularity (), In J. Algebra, volume 236, .
• $n$-groupoids from $n$-truncated simplicial objects as a solution to a universal problem (), Chapter in , volume 154, .
• The structural nature of the nerve functor for $n$-groupoids (), Chapter in , volume 8, .
• Normal functors and strong protomodularity (), In Theory Appl. Categ., volume 7, .
• Normal subobjects and abelian objects in protomodular categories (), In J. Algebra, volume 228, .
• Baer sums and fibered aspects of Mal\cprime cev operations (), In Cahiers Topologie Géom. Différentielle Catég., volume 40, .
• Protomodularity, descent, and semidirect products ( and ), In Theory Appl. Categ., volume 4, .
• Mal\cprime cev categories and fibration of pointed objects (), Chapter in , volume 4, .
• Polyhedral monadicity of $n$-groupoids and standardized adjunction (), In J. Pure Appl. Algebra, volume 99, .
• Low-dimensional geometry of the notion of choice (), Chapter in Category theory 1991 (Montreal, PQ, 1991), Amer. Math. Soc., Providence, RI, volume 13, .
• Note on a submonadicity (), In Cahiers Topologie Géom. Différentielle Catég., volume 33, .
• Normalization equivalence, kernel equivalence and affine categories (), Chapter in Category theory (Como, 1990), Springer, Berlin, volume 1488, .
• Another denormalization theorem for abelian chain complexes (), In J. Pure Appl. Algebra, volume 66, .
• Produits tensoriels cohérents de complexes de chaîne (), Chapter in , volume 41, .
• The tower of $n$-groupoids and the long cohomology sequence (), In J. Pure Appl. Algebra, volume 62, .
• Pseudofunctors and nonabelian weak equivalences (), Chapter in Categorical algebra and its applications (Louvain-La-Neuve, 1987), Springer, Berlin, volume 1348, .
• A right exactness property for internal categories (), In Cahiers Topologie Géom. Différentielle Catég., volume 29, .
• The shift functor and the comprehensive factorization for internal groupoids (), In Cahiers Topologie Géom. Différentielle Catég., volume 28, .
• Une théorie de cohomologie pour les catégories exactes (), In C. R. Acad. Sci. Paris Sér. I Math., volume 303, .
• La tour de fibrations exactes des $n$-catégories (), In Cahiers Topologie Géom. Différentielle Catég., volume 25, .
• A general formulation of homotopy limits ( and ), In J. Pure Appl. Algebra, volume 29, .
• A canonical action on indexed limits: an application to coherent homotopy (), Chapter in Category theory (Gummersbach, 1981), Springer, Berlin-New York, volume 962, .
• Une autre propriété universelle pour le champ associé (), In Cahiers Topologie Géom. Différentielle, volume 21, .
• Distributeurs et théorie de la forme ( and ), In Cahiers Topologie Géom. Différentielle, volume 21, .
• A propos des ditopos (), Chapter in Nordwestdeutsches Kategorienseminar (Tagung, Bremen, 1976), .
• Sur les ditopos (), In C. R. Acad. Sci. Paris Sér. A, volume 279, .
• Ditopos (), In C. R. Acad. Sci. Paris Sér. A, volume 279, .
• Analgèbres et catalgèbres (), In C. R. Acad. Sci. Paris Sér. A, volume 278, .
• Anadèses et catadèses naturelles entre $3$-foncteurs (), In C. R. Acad. Sci. Paris Sér. A-B, volume 277, .
• Natural anadeses and catadeses (), In Cahiers Topologie Géom. Différentielle, volume 14, .
• Objets de Kleisli et d'Eilenberg-Moore d'un triple dans une $2$-catégorie (), Chapter in Esquisses mathématiques, No. 19, Exp. No. 1, .
• Anadèses et catadèses naturelles (), In C. R. Acad. Sci. Paris Sér. A-B, volume 276, .
• Triples $p$-structurés (), In Cahiers Topologie Géom. Différentielle, volume 13, .
• Sur les objets de Kleisli et d'Eilenberg-Moore dans une $2$-catégorie (), In C. R. Acad. Sci. Paris Sér. A-B, volume 275, .
• Triples $p$-structurés (), In C. R. Acad. Sci. Paris Sér. A-B, volume 274, .
• Sur les triples structurés (), In C. R. Acad. Sci. Paris Sér. A-B, volume 275, .