Selected citations of
"Mal'cev Varieties"

  1. J. Hagemann and C. Herrmann, A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity, Arch. Math. (Basel) 32 (1979), 234-245.
  2. G. Grätzer, Universal Algebra (2nd. edition), Springer, New York, NY, 1979.
  3. W. Taylor, Equational logic, Houston J. Math., Special Survey Issue, 1979.
  4. S. Burris and H.P. Sankappanavar, A Course in Universal Algebra, Springer, New York, NY, 1981.
  5. H.P. Gumm, A cancellation theorem for finite algebras, Colloq. Math. Soc. J. Bolyai 29 (1982), 341-344.
  6. J. Hagemann and C. Herrmann, Arithmetical locally equational classes and representation of partial functions, Colloq. Math. Soc. J. Bolyai 29 (1982), 345-360.
  7. P.T. Johnstone, Stone Spaces, Cambridge University Press, Cambridge, 1982.
  8. H.P. Gumm, Geometrical methods in congruence modular algebras, Memoirs of the Amer. Math. Soc. 45 (1983) No. 286.
  9. M.R. Vaughan-Lee, Nilpotence in permutable varieties, pp. 293-308 in "Universal Algebra and Lattice Theory" (eds. R.S. Freese and O.C. Garcia), Springer, Berlin, 1983.
  10. J. Jezek and T. Kepka, Medial Groupoids, Academia, Prague, 1983.
  11. H.P. Gumm, Geometrical reasoning and analogy in universal algebra, pp. 29-40 in "Universal Algebra and its Links with Logic, Algebra, Combinatorics and Computer Science" (eds. P. Burmeister et al.), Heldermann, Berlin, 1984.
  12. T. Ihringer, Quasigroups, loops and centraliser rings, Contributions to General Algebra 3 (1984), 211-224.
  13. M. Haiman, Linear lattice proof theory: an overview, pp. 129-141 in "Universal Algebra and Lattice Theory" (ed. S.D. Comer), Springer, Berlin, 1985.
  14. A.G. Pinus, Congruence-Modular Varieties of Algebras (Russian), Irkutsk University Press, Irkutsk, 1986.
  15. Yu.M. Movsisyan, Introduction to the Theory of Algebras with Hyperidentities (Russian), Yerevan University Press, Yerevan, 1986.
  16. R.N. McKenzie, G.F. McNulty and W.F. Taylor, Algebras, Lattices, Varieties, Wadsworth & Brooks/Cole, Monterey, CA, 1987.
  17. R. Freese and R. McKenzie, Commutator Theory for Congruence Modular Varieties, Cambridge University Press, Cambridge, 1987.
  18. T. Ihringer, Allgemeine Algebra, Teubner, Stuttgart, 1988.
  19. P.T. Johnstone, Affine categories and naturally Mal'cev categories, J. Pure Appl. Algebra 61 (1989), 251-256.
  20. Yu.M. Movsisyan, Hyperidentities and Hypervarieties in Algebra (Russian), Yerevan University Press, Yerevan, 1990.
  21. A. Carboni, J. Lambek and M.C. Pedicchio, Diagram chasing in Mal'cev categories, J. Pure Appl. Algebra 69 (1990), 271-284.
  22. D.M. Smirnov, Varieties of Algebras (Russian), Nauka, Novosibirsk, 1992.
  23. G. Grätzer and A. Kisielewicz, A survey of some open problems on pn-sequences and free spectra of algebras and varieties, pp. 57-88 in "Universal Algebra and Quasigroup Theory" (eds. A. Romanowska and J.D.H. Smith), Heldermann, Berlin, 1992.
  24. K.W. Johnson, Some historical aspects of the representation theory of groups and its extension to quasigroups, pp. 101-117 in "Universal Algebra and Quasigroup Theory" (eds. A. Romanowska and J.D.H. Smith), Heldermann, Berlin, 1992.
  25. J. Plonka and A. Romanowska, Semilattice sums, pp. 123-158 in "Universal Algebra and Quasigroup Theory" (eds. A. Romanowska and J.D.H. Smith), Heldermann, Berlin, 1992.
  26. A. Romanowska, Mal'cev modes, affine spaces and barycentric algebras, pp. 173-194 in "Universal Algebra and Quasigroup Theory" (eds. A. Romanowska and J.D.H. Smith), Heldermann, Berlin, 1992.
  27. A. Szendrei, A survey on strictly simple algebras and minimal varieties, pp. 209-239 in "Universal Algebra and Quasigroup Theory" (eds. A. Romanowska and J.D.H. Smith), Heldermann, Berlin, 1992.
  28. M.C. Pedicchio, A categorical approach to commutator theory, J. Alg. 177 (1995), 647-657.
  29. W.A. Dudek, Varieties of polyadic groups, Filomat (Nis) 9 (1995), 657-674.
  30. M.C. Pedicchio, Arithmetical categories and commutator theory, Appl. Categ. Str. 4 (1996), 297-305.
  31. D. Bourn, Mal'cev categories and fibration of pointed objects, Appl. Categ. Str. 4 (1996), 307-327.
  32. G.B. Byelyavskaya, Associators and the commutant of a quasigroup (Russian), Fund. and Appl. Math. 3 (1997), 713-737.
  33. M.C. Pedicchio, Some remarks on internal pregroupoids in varieties, Comm. Alg. 26 (1998), 1737-1744.
  34. G.B. Byelyavskaya, Centrally isotopic quasigroups, Quasigroups and Related Systems 5 (1998), 1-12.
  35. G. Janelidze and G.M. Kelly, Central extensions in Mal'tsev varieties, Th. and Appl. of Categ. 7 (2000), 219-226.
  36. M.H. Armanious, Nilpotent SQS-skeins with nilpotent derived sloops, Ars Combin. 56 (2000), 193–200.
  37. D. Bourn, Normal subobjects and abelian objects in protomodular categories, J. Algebra 228 (2000), 143–164.
  38. I. Chajda and K. Glazek, A Basic Course on General Algebra, Technical University Press, Zielona Góra, 2000.
  39. L.V. Sabinin, Smooth quasigroups and loops, Comment. Math. Univ. Carolinae 41 (2000), 377-400.
  40. M. Gran and M.C. Pedicchio, n-Permutable locally finite presentable categories, Th. and Appl. of Categ. 8 (2001), 1-15.
  41. G. Janelidze and M.C. Pedicchio, Pseudogroupoids and commutators, Th. and Appl. of Categ. 8 (2001), 408-456.
  42. D. Bourn, Aspherical abelian groupoids and their directions, J. Pure Appl. Algebra 168 (2002), 133–146.
  43. G. Janelidze, L. Márki, and W. Tholen, Semi-abelian categories, J. Pure Appl. Algebra 168 (2002), 367–386.
  44. M. Gran, Commutators and central extensions in universal algebra, J. Pure Appl. Algebra 174 (2002), 249–261.
  45. D. Bourn and M. Gran, Centrality and normality in protomodular categories, Th. and Appl. of Categ. 9 (2002), 151-165.
  46. G. Janelidze, L. Márki and W. Tholen, Semi-abelian categories, J. Pure Appl. Algebra 168 (2002), 367-386.
  47. D. Bourn and M. Gran, Centrality and connectors in Maltsev categories, Algebra Universalis 48 (2002), 309–331.
  48. D. Bourn and M. Gran, Central extensions in semi-abelian categories, J. Pure Appl. Algebra 175 (2002), 31–44.
  49. D. Fearnley-Sander and T. Stokes, Varieties of equality structures, Internat. J. Algebra Comput. 13 (2003), 463–480.
  50. F. Borceux and D. Bourn, Mal'cev, Protomodular, Homological and Semi-Abelian Categories, Kluwer, Dordrecht, 2004.
  51. M. Gran and J.L. Rosicky, Special reflexive graphs in modular varieties, Algebra Universalis 52 (2004), 89-102.
  52. D. Bourn, Commutator theory in strongly protomodular categories, Th. and Appl. of Categ. 13 (2004), 27-40.
  53. E. Aichinger and P. Idziak, Polynomial interpolation in expanded groups, J. Algebra 271 (2004), 65–107.
  54. D. Bourn and M. Gran, Normal sections and direct product decompositions, Comm. Algebra 32 (2004), 3825–3842.
  55. F. Borceux and M.M. Clementino, Topological semi-abelian algebras, Adv. Math. 190 (2005), 425–453.
  56. D. Bourn, Congruence distributivity in Goursat and Mal'cev categories, Applied Categorical Structures 13 (2005), 101-111.
  57. A Drápal, On multiplication groups of relatively free quasigroups isotopic to abelian groups, Czechoslovak Math. J. 55 (2005), 61-86.
  58. J. Berman and P. Idziak, Generative complexity in algebra, Mem. Amer. Math. Soc. 175 (2005), No. 828, viii+159 pp.
  59. D. Bourn, On the direct image of intersections in exact homological categories, J. Pure Appl. Algebra 196 (2005), 39–52.
  60. M. Jibladze and T. Pirashvili, Linear extensions and nilpotence of Maltsev theories, Beiträge Algebra Geom. 46 (2005), 71–102.
  61. T. Everaert and M. Gran, Precrossed modules and Galois theory, J. Algebra 297 (2006), 292–309.
  62. D. Bourn, Baer sums in homological categories, J. Algebra 308 (2007), 414-443.
  63. M. Gran and V. Rossi, Torsion theories and Galois coverings of topological groups, J. Pure Appl. Algebra 208 (2007) 135–151.
  64. T. Everaert, Relative commutator theory in varieties of Omega-groups, J. Pure Appl. Algebra 210 (2007), 1–10.
  65. D. Bourn, Abelian groupoids and non-pointed additive categories, Th. and Appl. of Categ. 20 (2008), 48-73.
  66. E. Aichinger and N. Mudrinski, Some applications of higher commutators in Mal’cev algebras, Algebra Universalis 63 (2010), 367-403.
  67. N. Martins-Ferreira and T. Van der Linden, A note on the "Smith is Huq" condition, Appl. Categ. Structures 20 (2012), 175-187.
  68. D. Rodelo and T. Van der Linden, Higher central extensions via commutators, Theory Appl. Categ. 27 (2012), 189-209.
  69. T. Everaert and T. Van der Linden, Relative commutator theory in semi-abelian categories, J. Pure Appl. Algebra 216 (2012), 1791-1806.
  70. D. Bourn, N. Martins-Ferreira and T. Van der Linden, A characterization of the "Smith is Huq" condition in the pointed Mal'tsev setting, Cah. Topol. Géom. Différ. Catég. 54 (2013), 163-183.
  71. M. Hartl and T. Van der Linden, The ternary commutator obstruction for internal crossed modules, Adv. Math. 232 (2013), 571-607.
  72. J.R.A. Gray, A note on the distributivity of the Huq commutator over finite joins, Appl. Categ. Structures 22 (2014), 305-310.
  73. D.J. Bourn, A structural aspect of the category of quandles, J. Knot Theory Ramifications 24 (2015) no. 12, 1550060.
  74. C. Berger and D.J. Bourn, Central reflections and nilpotency in exact Mal’tsev categories, Homotopy Relat. Struct. 11 (2016). DOI:10.1007/s40062-016-0165-8