Dominique BOURN
- Professeur émérite au LMPA
- Équipe : Algèbre, Dynamique et Arithmétique (ADA)
- Email : Dominique.Bourn@univ-littoral.fr
- Page internet : http://www-lmpa.univ-littoral.fr/~bourn
- Laboratoire de Mathématiques Pure et Appliquées
- Adresse : LMPA
Centre Universitaire de la Mi-Voix
50 rue Ferdinand Buisson
CS 80699
62228 CALAIS Cedex France
- Adresse :
101 publications
- Split epimorphisms as a productive tool in universal algebra ( ), In Algebra Universalis, volume 82, 2021.
- Extracting a $Sigma$-Mal'tsev ($Sigma$-protomodular) structure from a Mal'tsev (protomodular) subcategory ( ), In Appl. Categ. Structures, volume 27, 2019.
- A note on the categorical congruence distributivity ( ), In Theory Appl. Categ., volume 34, 2019.
- The $3 imes3$ lemma in the $Sigma$-Mal'tsev and $Sigma$-protomodular settings. Applications to monoids and quandles ( ), In Homology Homotopy Appl., volume 21, 2019.
- Suprema of equivalence relations and non-regular Goursat categories ( ), In Cah. Topol. G'eom. Diff'er. Cat'eg., volume 59, 2018.
- Central reflections and nilpotency in exact Mal'tsev categories ( ), In J. Homotopy Relat. Struct., volume 12, 2017.
- From groups to categorial algebra ( ), Birkh"auser/Springer, Cham, 2017.
- On the classification property of the group $Aut\,K$ and its generalizations ( ), In Not. S. Afr. Math. Soc., volume 47, 2016.
- Partial linearity and partial natural Mal'tsevness ( ), In Theory Appl. Categ., volume 31, 2016.
- A note on the abelianization functor ( ), In Comm. Algebra, volume 44, 2016.
- Monoids and pointed $S$-protomodular categories ( ), In Homology Homotopy Appl., volume 18, 2016.
- Normalizers and split extensions ( ), In Appl. Categ. Structures, volume 23, 2015.
- A structural aspect of the category of quandles ( ), In J. Knot Theory Ramifications, volume 24, 2015.
- 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, 2014.
- Two ways to centralizers of equivalence relations ( ), In Appl. Categ. Structures, volume 22, 2014.
- Schreier split epimorphisms between monoids ( ), In Semigroup Forum, volume 88, 2014.
- Schreier split epimorphisms in monoids and in semirings ( ), Universidade de Coimbra, Departamento de Matemática, Coimbra, volume 45, 2013.
- Normality, commutation and suprema in the regular Mal'tsev and protomodular settings ( ), In Cah. Topol. Géom. Différ. Catég., volume 54, 2013.
- A characterisation of the "Smith is Huq" condition in the pointed Mal'tsev setting ( ), In Cah. Topol. Géom. Différ. Catég., volume 54, 2013.
- On the monad of internal groupoids ( ), In Theory Appl. Categ., volume 28, 2013.
- Aspects of algebraic exponentiation ( ), In Bull. Belg. Math. Soc. Simon Stevin, volume 19, 2012.
- Intrinsic Schreier-Mac Lane extension theorem II: The case of action accessible categories ( ), In J. Pure Appl. Algebra, volume 216, 2012.
- Comprehensive factorization and $I$-central extensions ( ), In J. Pure Appl. Algebra, volume 216, 2012.
- Categorical (binary) difference terms and protomodularity ( ), In Algebra Universalis, volume 66, 2011.
- Centralizer and faithful groupoid ( ), In J. Algebra, volume 328, 2011.
- Internal profunctors and commutator theory; applications to extensions classification and categorical Galois theory ( ), In Theory Appl. Categ., volume 24, 2010.
- 2-catégories réductibles ( ), In Repr. Theory Appl. Categ., 2010.
- Centralizers in action accessible categories ( ), In Cah. Topol. Géom. Différ. Catég., volume 50, 2009.
- Subtractive categories and extended subtractions ( ), In Appl. Categ. Structures, volume 17, 2009.
- Pointed protomodularity via natural imaginary subtractions ( ), In J. Pure Appl. Algebra, volume 213, 2009.
- Approximate Mal\cprime tsev operations ( ), In Theory Appl. Categ., volume 21, 2008.
- The Mal\cprime tsev operation on extensions ( ), In Cah. Topol. Géom. Différ. Catég., volume 49, 2008.
- Mal\cprime cev conditions revisited ( ), In Appl. Categ. Structures, volume 16, 2008.
- Commutator theory, action groupoids, and an intrinsic Schreier-Mac Lane extension theorem ( ), In Adv. Math., volume 217, 2008.
- Abelian groupoids and non-pointed additive categories ( ), In Theory Appl. Categ., volume 20, 2008.
- Distributive law, commutator theory and Yang-Baxter equation ( ), In JP J. Algebra Number Theory Appl., volume 8, 2007.
- 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, 2007.
- Split extension classifier and centrality ( ), Chapter in Categories in algebra, geometry and mathematical physics, Amer. Math. Soc., Providence, RI, volume 431, 2007.
- Cohomology without projectives ( ), In Cah. Topol. Géom. Différ. Catég., volume 48, 2007.
- Baer sums in homological categories ( ), In J. Algebra, volume 308, 2007.
- Initial normal covers in bi-Heyting toposes ( ), In Arch. Math. (Brno), volume 42, 2006.
- Torsion theories in homological categories ( ), In J. Algebra, volume 305, 2006.
- Action groupoid in protomodular categories ( ), In Theory Appl. Categ., volume 16, 2006.
- Normal subobjects of topological groups and of topological semi-abelian algebras ( ), In Topology Appl., volume 153, 2006.
- Congruence distributivity in Goursat and Mal\cprime cev categories ( ), In Appl. Categ. Structures, volume 13, 2005.
- Catégorification de structures définies par monade cartésienne ( ), In Cah. Topol. Géom. Différ. Catég., volume 46, 2005.
- On the direct image of intersections in exact homological categories ( ), In J. Pure Appl. Algebra, volume 196, 2005.
- Fibration of points and congruence modularity ( ), In Algebra Universalis, volume 52, 2004.
- Commutator theory in strongly protomodular categories ( ), In Theory Appl. Categ., volume 13, 2004.
- Extensions with abelian kernels in protomodular categories ( ), In Georgian Math. J., volume 11, 2004.
- Normal sections and direct product decompositions ( ), In Comm. Algebra, volume 32, 2004.
- Categorical aspects of modularity ( ), Chapter in Galois theory, Hopf algebras, and semiabelian categories, Amer. Math. Soc., Providence, RI, volume 43, 2004.
- Commutator theory in regular Mal\cprime cev categories ( ), Chapter in Galois theory, Hopf algebras, and semiabelian categories, Amer. Math. Soc., Providence, RI, volume 43, 2004.
- Protomodular aspect of the dual of a topos ( ), In Adv. Math., volume 187, 2004.
- Regular, protomodular, and abelian categories ( ), Chapter in Categorical foundations, Cambridge Univ. Press, Cambridge, volume 97, 2004.
- Mal'cev, protomodular, homological and semi-abelian categories ( ), Kluwer Academic Publishers, Dordrecht, volume 566, 2004.
- Characterization of protomodular varieties of universal algebras ( ), In Theory Appl. Categ., volume 11, 2003.
- The denormalized $3\times3$ lemma ( ), In J. Pure Appl. Algebra, volume 177, 2003.
- Extensions of symmetric cat-groups ( ), In Homology Homotopy Appl., volume 4, 2002.
- Centrality and connectors in Maltsev categories ( ), In Algebra Universalis, volume 48, 2002.
- Intrinsic centrality and associated classifying properties ( ), In J. Algebra, volume 256, 2002.
- Central extensions in semi-abelian categories ( ), Chapter in , volume 175, 2002.
- Aspherical abelian groupoids and their directions ( ), Chapter in , volume 168, 2002.
- Centrality and normality in protomodular categories ( ), Chapter in , volume 9, 2001/02.
- A categorical genealogy for the congruence distributive property ( ), In Theory Appl. Categ., volume 8, 2001.
- $3\times3$ lemma and protomodularity ( ), In J. Algebra, volume 236, 2001.
- $n$-groupoids from $n$-truncated simplicial objects as a solution to a universal problem ( ), Chapter in , volume 154, 2000.
- The structural nature of the nerve functor for $n$-groupoids ( ), Chapter in , volume 8, 2000.
- Normal functors and strong protomodularity ( ), In Theory Appl. Categ., volume 7, 2000.
- Normal subobjects and abelian objects in protomodular categories ( ), In J. Algebra, volume 228, 2000.
- Baer sums and fibered aspects of Mal\cprime cev operations ( ), In Cahiers Topologie Géom. Différentielle Catég., volume 40, 1999.
- Protomodularity, descent, and semidirect products ( ), In Theory Appl. Categ., volume 4, 1998.
- Mal\cprime cev categories and fibration of pointed objects ( ), Chapter in , volume 4, 1996.
- Polyhedral monadicity of $n$-groupoids and standardized adjunction ( ), In J. Pure Appl. Algebra, volume 99, 1995.
- Low-dimensional geometry of the notion of choice ( ), Chapter in Category theory 1991 (Montreal, PQ, 1991), Amer. Math. Soc., Providence, RI, volume 13, 1992.
- Note on a submonadicity ( ), In Cahiers Topologie Géom. Différentielle Catég., volume 33, 1992.
- Normalization equivalence, kernel equivalence and affine categories ( ), Chapter in Category theory (Como, 1990), Springer, Berlin, volume 1488, 1991.
- Another denormalization theorem for abelian chain complexes ( ), In J. Pure Appl. Algebra, volume 66, 1990.
- Produits tensoriels cohérents de complexes de chaîne ( ), Chapter in , volume 41, 1989.
- The tower of $n$-groupoids and the long cohomology sequence ( ), In J. Pure Appl. Algebra, volume 62, 1989.
- Pseudofunctors and nonabelian weak equivalences ( ), Chapter in Categorical algebra and its applications (Louvain-La-Neuve, 1987), Springer, Berlin, volume 1348, 1988.
- A right exactness property for internal categories ( ), In Cahiers Topologie Géom. Différentielle Catég., volume 29, 1988.
- The shift functor and the comprehensive factorization for internal groupoids ( ), In Cahiers Topologie Géom. Différentielle Catég., volume 28, 1987.
- Une théorie de cohomologie pour les catégories exactes ( ), In C. R. Acad. Sci. Paris Sér. I Math., volume 303, 1986.
- La tour de fibrations exactes des $n$-catégories ( ), In Cahiers Topologie Géom. Différentielle Catég., volume 25, 1984.
- A general formulation of homotopy limits ( ), In J. Pure Appl. Algebra, volume 29, 1983.
- A canonical action on indexed limits: an application to coherent homotopy ( ), Chapter in Category theory (Gummersbach, 1981), Springer, Berlin-New York, volume 962, 1982.
- Une autre propriété universelle pour le champ associé ( ), In Cahiers Topologie Géom. Différentielle, volume 21, 1980.
- Distributeurs et théorie de la forme ( ), In Cahiers Topologie Géom. Différentielle, volume 21, 1980.
- A propos des ditopos ( ), Chapter in Nordwestdeutsches Kategorienseminar (Tagung, Bremen, 1976), 1976.
- Sur les ditopos ( ), In C. R. Acad. Sci. Paris Sér. A, volume 279, 1974.
- Ditopos ( ), In C. R. Acad. Sci. Paris Sér. A, volume 279, 1974.
- Analgèbres et catalgèbres ( ), In C. R. Acad. Sci. Paris Sér. A, volume 278, 1974.
- Anadèses et catadèses naturelles entre $3$-foncteurs ( ), In C. R. Acad. Sci. Paris Sér. A-B, volume 277, 1973.
- Natural anadeses and catadeses ( ), In Cahiers Topologie Géom. Différentielle, volume 14, 1973.
- Objets de Kleisli et d'Eilenberg-Moore d'un triple dans une $2$-catégorie ( ), Chapter in Esquisses mathématiques, No. 19, Exp. No. 1, 1973.
- Anadèses et catadèses naturelles ( ), In C. R. Acad. Sci. Paris Sér. A-B, volume 276, 1973.
- Triples $p$-structurés ( ), In Cahiers Topologie Géom. Différentielle, volume 13, 1972.
- Sur les objets de Kleisli et d'Eilenberg-Moore dans une $2$-catégorie ( ), In C. R. Acad. Sci. Paris Sér. A-B, volume 275, 1972.
- Triples $p$-structurés ( ), In C. R. Acad. Sci. Paris Sér. A-B, volume 274, 1972.
- Sur les triples structurés ( ), In C. R. Acad. Sci. Paris Sér. A-B, volume 275, 1972.