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

Dominique BOURN

110 publications

  1. Algebraic logoi (, , and ), In J. Pure Appl. Algebra, volume 227, . [hal-lmpa]
  2. Aspects of the category SKB of skew braces (, and ), In Comm. Algebra, volume 51, . [hal]
  3. On congruence modular varieties and Gumm categories (), In Comm. Algebra, volume 50, . [hal]
  4. On the cocartesian image of preorders and equivalence relations in regular categories (), In Appl. Categ. Structures, volume 30, . [hal]
  5. Split epimorphisms as a productive tool in universal algebra (), In Algebra Universalis, volume 82, . [hal]
  6. A note on the categorical notions of normal subobject and of equivalence class ( and ), In Theory Appl. Categ., volume 36, .
  7. A remarkable aspect of internal groupoids in regular Mal'tsev categories (), In Theory Appl. Categ., volume 37, .
  8. Mal'tsev and Lawvere functors (), In Quaest. Math., volume 44, . [hal]
  9. On the naturalness of Mal'tsev categories (, and ), Chapter in Joachim Lambek: the interplay of mathematics, logic, and linguistics, Springer, Cham, volume 20, .
  10. A Mal'tsev glance at the fibration $(\,)_0:Cat\Bbb E\to\Bbb E$ of internal categories (), In Cah. Topol. Géom. Différ. Catég., volume 62, .
  11. Extracting a $Sigma$-Mal'tsev ($Sigma$-protomodular) structure from a Mal'tsev (protomodular) subcategory (), In Appl. Categ. Structures, volume 27, . [hal]
  12. A note on the categorical congruence distributivity (), In Theory Appl. Categ., volume 34, .
  13. 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, . [hal]
  14. Suprema of equivalence relations and non-regular Goursat categories (), In Cah. Topol. G'eom. Diff'er. Cat'eg., volume 59, .
  15. Central reflections and nilpotency in exact Mal'tsev categories ( and ), In J. Homotopy Relat. Struct., volume 12, .
  16. From groups to categorial algebra (), Birkhäuser/Springer, Cham, .
  17. On the classification property of the group $Aut(K)$ and its generalizations (), In Not. S. Afr. Math. Soc., volume 47, .
  18. Partial linearity and partial natural Mal'tsevness (), In Theory Appl. Categ., volume 31, .
  19. A note on the abelianization functor ( and ), In Comm. Algebra, volume 44, .
  20. Monoids and pointed $S$-protomodular categories (, , and ), In Homology Homotopy Appl., volume 18, .
  21. Normalizers and split extensions ( and ), In Appl. Categ. Structures, volume 23, .
  22. A structural aspect of the category of quandles (), In J. Knot Theory Ramifications, volume 24, .
  23. 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, .
  24. Two ways to centralizers of equivalence relations (), In Appl. Categ. Structures, volume 22, .
  25. Schreier split epimorphisms between monoids (, , and ), In Semigroup Forum, volume 88, .
  26. Schreier split epimorphisms in monoids and in semirings (, , and ), Universidade de Coimbra, Departamento de Matem'atica, Coimbra, volume 45, .
  27. Normality, commutation and suprema in the regular Mal'tsev and protomodular settings (), In Cah. Topol. G'eom. Diff'er. Cat'eg., volume 54, .
  28. A characterisation of the "Smith is Huq" condition in the pointed Mal'tsev setting (, and ), In Cah. Topol. G'eom. Diff'er. Cat'eg., volume 54, .
  29. On the monad of internal groupoids (), In Theory Appl. Categ., volume 28, .
  30. Aspects of algebraic exponentiation ( and ), In Bull. Belg. Math. Soc. Simon Stevin, volume 19, .
  31. Intrinsic Schreier-Mac Lane extension theorem II: The case of action accessible categories ( and ), In J. Pure Appl. Algebra, volume 216, .
  32. Comprehensive factorization and $I$-central extensions ( and ), In J. Pure Appl. Algebra, volume 216, .
  33. Categorical (binary) difference terms and protomodularity ( and ), In Algebra Universalis, volume 66, .
  34. Centralizer and faithful groupoid (), In J. Algebra, volume 328, .
  35. Internal profunctors and commutator theory; applications to extensions classification and categorical Galois theory (), In Theory Appl. Categ., volume 24, .
  36. 2-cat'egories r'eductibles ( and ), In Repr. Theory Appl. Categ., .
  37. Centralizers in action accessible categories ( and ), In Cah. Topol. Géom. Différ. Catég., volume 50, .
  38. Subtractive categories and extended subtractions ( and ), In Appl. Categ. Structures, volume 17, .
  39. Pointed protomodularity via natural imaginary subtractions ( and ), In J. Pure Appl. Algebra, volume 213, .
  40. Approximate Mal\cprime tsev operations ( and ), In Theory Appl. Categ., volume 21, .
  41. The Mal\cprime tsev operation on extensions (), In Cah. Topol. Géom. Différ. Catég., volume 49, .
  42. Mal\cprime cev conditions revisited ( and ), In Appl. Categ. Structures, volume 16, .
  43. Commutator theory, action groupoids, and an intrinsic Schreier-Mac Lane extension theorem (), In Adv. Math., volume 217, .
  44. Abelian groupoids and non-pointed additive categories (), In Theory Appl. Categ., volume 20, .
  45. Distributive law, commutator theory and Yang-Baxter equation (), In JP J. Algebra Number Theory Appl., volume 8, .
  46. 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, .
  47. Split extension classifier and centrality ( and ), Chapter in Categories in algebra, geometry and mathematical physics, Amer. Math. Soc., Providence, RI, volume 431, .
  48. Cohomology without projectives ( and ), In Cah. Topol. Géom. Différ. Catég., volume 48, .
  49. Baer sums in homological categories (), In J. Algebra, volume 308, .
  50. Initial normal covers in bi-Heyting toposes (, and ), In Arch. Math. (Brno), volume 42, .
  51. Torsion theories in homological categories ( and ), In J. Algebra, volume 305, .
  52. Action groupoid in protomodular categories (), In Theory Appl. Categ., volume 16, .
  53. Normal subobjects of topological groups and of topological semi-abelian algebras (), In Topology Appl., volume 153, .
  54. Congruence distributivity in Goursat and Mal\cprime cev categories (), In Appl. Categ. Structures, volume 13, .
  55. Catégorification de structures définies par monade cartésienne ( and ), In Cah. Topol. Géom. Différ. Catég., volume 46, .
  56. On the direct image of intersections in exact homological categories (), In J. Pure Appl. Algebra, volume 196, .
  57. Fibration of points and congruence modularity (), In Algebra Universalis, volume 52, .
  58. Commutator theory in strongly protomodular categories (), In Theory Appl. Categ., volume 13, .
  59. Extensions with abelian kernels in protomodular categories ( and ), In Georgian Math. J., volume 11, .
  60. Normal sections and direct product decompositions ( and ), In Comm. Algebra, volume 32, .
  61. Categorical aspects of modularity ( and ), Chapter in Galois theory, Hopf algebras, and semiabelian categories, Amer. Math. Soc., Providence, RI, volume 43, .
  62. Commutator theory in regular Mal\cprime cev categories (), Chapter in Galois theory, Hopf algebras, and semiabelian categories, Amer. Math. Soc., Providence, RI, volume 43, .
  63. Protomodular aspect of the dual of a topos (), In Adv. Math., volume 187, .
  64. Regular, protomodular, and abelian categories ( and ), Chapter in Categorical foundations, Cambridge Univ. Press, Cambridge, volume 97, .
  65. Mal'cev, protomodular, homological and semi-abelian categories ( and ), Kluwer Academic Publishers, Dordrecht, volume 566, .
  66. Characterization of protomodular varieties of universal algebras ( and ), In Theory Appl. Categ., volume 11, .
  67. The denormalized $3\times3$ lemma (), In J. Pure Appl. Algebra, volume 177, .
  68. Extensions of symmetric cat-groups ( and ), In Homology Homotopy Appl., volume 4, .
  69. Centrality and connectors in Maltsev categories ( and ), In Algebra Universalis, volume 48, .
  70. Intrinsic centrality and associated classifying properties (), In J. Algebra, volume 256, .
  71. Central extensions in semi-abelian categories ( and ), Chapter in , volume 175, .
  72. Aspherical abelian groupoids and their directions (), Chapter in , volume 168, .
  73. Centrality and normality in protomodular categories ( and ), Chapter in , volume 9, .
  74. A categorical genealogy for the congruence distributive property (), In Theory Appl. Categ., volume 8, .
  75. $3\times3$ lemma and protomodularity (), In J. Algebra, volume 236, .
  76. $n$-groupoids from $n$-truncated simplicial objects as a solution to a universal problem (), Chapter in , volume 154, .
  77. The structural nature of the nerve functor for $n$-groupoids (), Chapter in , volume 8, .
  78. Normal functors and strong protomodularity (), In Theory Appl. Categ., volume 7, .
  79. Normal subobjects and abelian objects in protomodular categories (), In J. Algebra, volume 228, .
  80. Baer sums and fibered aspects of Mal\cprime cev operations (), In Cahiers Topologie Géom. Différentielle Catég., volume 40, .
  81. Protomodularity, descent, and semidirect products ( and ), In Theory Appl. Categ., volume 4, .
  82. Mal\cprime cev categories and fibration of pointed objects (), Chapter in , volume 4, .
  83. Polyhedral monadicity of $n$-groupoids and standardized adjunction (), In J. Pure Appl. Algebra, volume 99, .
  84. Low-dimensional geometry of the notion of choice (), Chapter in Category theory 1991 (Montreal, PQ, 1991), Amer. Math. Soc., Providence, RI, volume 13, .
  85. Note on a submonadicity (), In Cahiers Topologie Géom. Différentielle Catég., volume 33, .
  86. Normalization equivalence, kernel equivalence and affine categories (), Chapter in Category theory (Como, 1990), Springer, Berlin, volume 1488, .
  87. Another denormalization theorem for abelian chain complexes (), In J. Pure Appl. Algebra, volume 66, .
  88. Produits tensoriels cohérents de complexes de chaîne (), Chapter in , volume 41, .
  89. The tower of $n$-groupoids and the long cohomology sequence (), In J. Pure Appl. Algebra, volume 62, .
  90. Pseudofunctors and nonabelian weak equivalences (), Chapter in Categorical algebra and its applications (Louvain-La-Neuve, 1987), Springer, Berlin, volume 1348, .
  91. A right exactness property for internal categories (), In Cahiers Topologie Géom. Différentielle Catég., volume 29, .
  92. The shift functor and the comprehensive factorization for internal groupoids (), In Cahiers Topologie Géom. Différentielle Catég., volume 28, .
  93. Une théorie de cohomologie pour les catégories exactes (), In C. R. Acad. Sci. Paris Sér. I Math., volume 303, .
  94. La tour de fibrations exactes des $n$-catégories (), In Cahiers Topologie Géom. Différentielle Catég., volume 25, .
  95. A general formulation of homotopy limits ( and ), In J. Pure Appl. Algebra, volume 29, .
  96. A canonical action on indexed limits: an application to coherent homotopy (), Chapter in Category theory (Gummersbach, 1981), Springer, Berlin-New York, volume 962, .
  97. Une autre propriété universelle pour le champ associé (), In Cahiers Topologie Géom. Différentielle, volume 21, .
  98. Distributeurs et théorie de la forme ( and ), In Cahiers Topologie Géom. Différentielle, volume 21, .
  99. A propos des ditopos (), Chapter in Nordwestdeutsches Kategorienseminar (Tagung, Bremen, 1976), .
  100. Sur les ditopos (), In C. R. Acad. Sci. Paris Sér. A, volume 279, .
  101. Ditopos (), In C. R. Acad. Sci. Paris Sér. A, volume 279, .
  102. Analgèbres et catalgèbres (), In C. R. Acad. Sci. Paris Sér. A, volume 278, .
  103. Anadèses et catadèses naturelles entre $3$-foncteurs (), In C. R. Acad. Sci. Paris Sér. A-B, volume 277, .
  104. Natural anadeses and catadeses (), In Cahiers Topologie Géom. Différentielle, volume 14, .
  105. Objets de Kleisli et d'Eilenberg-Moore d'un triple dans une $2$-catégorie (), Chapter in Esquisses mathématiques, No. 19, Exp. No. 1, .
  106. Anadèses et catadèses naturelles (), In C. R. Acad. Sci. Paris Sér. A-B, volume 276, .
  107. Triples $p$-structurés (), In Cahiers Topologie Géom. Différentielle, volume 13, .
  108. Sur les objets de Kleisli et d'Eilenberg-Moore dans une $2$-catégorie (), In C. R. Acad. Sci. Paris Sér. A-B, volume 275, .
  109. Triples $p$-structurés (), In C. R. Acad. Sci. Paris Sér. A-B, volume 274, .
  110. Sur les triples structurés (), In C. R. Acad. Sci. Paris Sér. A-B, volume 275, .

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