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Selected citations of "Mal'cev Varieties"
- 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.
- G. Grätzer, Universal Algebra (2nd. edition), Springer, New York, NY, 1979.
- W. Taylor, Equational logic, Houston J. Math., Special Survey Issue, 1979.
- S. Burris and H.P. Sankappanavar, A Course in Universal Algebra, Springer, New York, NY, 1981.
- H.P. Gumm, A cancellation theorem for finite algebras, Colloq. Math. Soc. J. Bolyai 29 (1982), 341-344.
- J. Hagemann and C. Herrmann, Arithmetical locally equational classes and representation of partial functions, Colloq. Math. Soc. J. Bolyai 29 (1982), 345-360.
- P.T. Johnstone, Stone Spaces, Cambridge University Press, Cambridge, 1982.
- H.P. Gumm, Geometrical methods in congruence modular algebras, Memoirs of the Amer. Math. Soc. 45 (1983) No. 286.
- 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.
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J. Jezek and T. Kepka, Medial Groupoids, Academia, Prague, 1983.
- 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.
- T. Ihringer, Quasigroups, loops and centraliser rings, Contributions to General Algebra 3 (1984), 211-224.
- M. Haiman, Linear lattice proof theory: an overview, pp. 129-141 in
"Universal Algebra and Lattice Theory"
(ed. S.D. Comer), Springer, Berlin, 1985.
- A.G. Pinus, Congruence-Modular Varieties of Algebras (Russian), Irkutsk University Press, Irkutsk, 1986.
- Yu.M. Movsisyan, Introduction to the Theory of Algebras with Hyperidentities (Russian), Yerevan University Press, Yerevan, 1986.
- R.N. McKenzie, G.F. McNulty and W.F. Taylor, Algebras, Lattices, Varieties, Wadsworth & Brooks/Cole, Monterey, CA, 1987.
- R. Freese and R. McKenzie, Commutator Theory for Congruence Modular Varieties,
Cambridge University Press, Cambridge, 1987.
- T. Ihringer, Allgemeine Algebra, Teubner, Stuttgart, 1988.
- P.T. Johnstone, Affine categories and naturally Mal'cev categories, J. Pure Appl. Algebra 61 (1989), 251-256.
- Yu.M. Movsisyan, Hyperidentities and Hypervarieties in Algebra (Russian), Yerevan University Press, Yerevan, 1990.
- A. Carboni, J. Lambek and M.C. Pedicchio, Diagram chasing in Mal'cev categories, J. Pure Appl. Algebra
69 (1990), 271-284.
- D.M. Smirnov, Varieties of Algebras (Russian), Nauka, Novosibirsk, 1992.
- 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.
- 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.
- 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.
- 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.
- 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.
- M.C. Pedicchio, A categorical approach to commutator theory, J. Alg. 177 (1995), 647-657.
- W.A. Dudek, Varieties of polyadic groups, Filomat (Nis) 9 (1995), 657-674.
- M.C. Pedicchio, Arithmetical categories and commutator theory, Appl. Categ. Str. 4 (1996), 297-305.
- D. Bourn, Mal'cev categories and fibration of pointed objects, Appl. Categ. Str. 4 (1996), 307-327.
- G.B. Byelyavskaya, Associators and the commutant of a quasigroup (Russian), Fund. and Appl. Math. 3 (1997), 713-737.
- M.C. Pedicchio, Some remarks on internal pregroupoids in varieties, Comm. Alg. 26 (1998), 1737-1744.
- G.B. Byelyavskaya, Centrally isotopic quasigroups, Quasigroups and Related Systems 5 (1998), 1-12.
- G. Janelidze and G.M. Kelly, Central extensions in Mal'tsev varieties, Th. and Appl. of Categ. 7 (2000), 219-226.
- M.H. Armanious, Nilpotent SQS-skeins with nilpotent derived sloops, Ars Combin. 56 (2000), 193200.
- D. Bourn, Normal subobjects and abelian objects in protomodular categories, J. Algebra 228 (2000), 143164.
- I. Chajda and K. Glazek, A Basic Course on General Algebra, Technical University Press, Zielona Góra, 2000.
- L.V. Sabinin, Smooth quasigroups and loops, Comment. Math. Univ. Carolinae 41 (2000), 377-400.
- M. Gran and M.C. Pedicchio, n-Permutable locally finite presentable categories, Th. and Appl. of Categ. 8 (2001), 1-15.
- G. Janelidze and M.C. Pedicchio, Pseudogroupoids and commutators, Th. and Appl. of Categ. 8 (2001), 408-456.
- D. Bourn, Aspherical abelian groupoids and their directions, J. Pure Appl. Algebra 168 (2002), 133146.
- G. Janelidze, L. Márki, and W. Tholen, Semi-abelian categories, J. Pure Appl. Algebra 168 (2002), 367386.
- M. Gran, Commutators and central extensions in universal algebra, J. Pure Appl. Algebra 174 (2002), 249261.
- D. Bourn and M. Gran, Centrality and normality in protomodular categories, Th. and Appl. of Categ. 9 (2002), 151-165.
- G. Janelidze, L. Márki and W. Tholen, Semi-abelian categories, J. Pure Appl. Algebra
168 (2002), 367-386.
- D. Bourn and M. Gran, Centrality and connectors in Maltsev categories, Algebra Universalis 48 (2002), 309331.
- D. Bourn and M. Gran, Central extensions in semi-abelian categories, J. Pure Appl. Algebra 175 (2002), 3144.
- D. Fearnley-Sander and T. Stokes, Varieties of equality structures, Internat. J. Algebra Comput. 13 (2003), 463480.
- F. Borceux and D. Bourn, Mal'cev, Protomodular, Homological and Semi-Abelian Categories, Kluwer, Dordrecht, 2004.
- M. Gran and J.L. Rosicky, Special reflexive graphs in modular varieties, Algebra Universalis 52 (2004), 89-102.
- D. Bourn, Commutator theory in strongly protomodular categories, Th. and Appl. of Categ. 13 (2004), 27-40.
- E. Aichinger and P. Idziak, Polynomial interpolation in expanded groups, J. Algebra 271 (2004), 65107.
- D. Bourn and M. Gran, Normal sections and direct product decompositions, Comm. Algebra 32 (2004), 38253842.
- F. Borceux and M.M. Clementino, Topological semi-abelian algebras, Adv. Math. 190 (2005), 425453.
- D. Bourn, Congruence distributivity in Goursat and Mal'cev categories, Applied Categorical Structures 13 (2005), 101-111.
- A Drápal, On multiplication groups of relatively free quasigroups isotopic to abelian groups, Czechoslovak Math. J. 55 (2005), 61-86.
- J. Berman and P. Idziak, Generative complexity in algebra, Mem. Amer. Math. Soc. 175 (2005), No. 828, viii+159 pp.
- D. Bourn, On the direct image of intersections in exact homological categories, J. Pure Appl. Algebra 196 (2005), 3952.
- M. Jibladze and T. Pirashvili, Linear extensions and nilpotence of Maltsev theories, Beiträge Algebra Geom. 46 (2005), 71102.
- T. Everaert and M. Gran, Precrossed modules and Galois theory, J. Algebra 297 (2006), 292309.
- D. Bourn, Baer sums in homological categories, J. Algebra 308 (2007), 414-443.
- M. Gran and V. Rossi, Torsion theories and Galois coverings of topological groups, J. Pure Appl. Algebra 208 (2007) 135151.
- T. Everaert, Relative commutator theory in varieties of Omega-groups, J. Pure Appl. Algebra 210 (2007), 110.
- D. Bourn, Abelian groupoids and non-pointed additive categories, Th. and Appl. of Categ. 20 (2008), 48-73.
- E. Aichinger and N. Mudrinski, Some applications of higher commutators in Malcev algebras, Algebra Universalis 63 (2010), 367-403.
- N. Martins-Ferreira and T. Van der Linden, A note on the "Smith is Huq" condition, Appl. Categ. Structures 20 (2012), 175-187.
- D. Rodelo and T. Van der Linden, Higher central extensions via commutators, Theory Appl. Categ. 27 (2012), 189-209.
- T. Everaert and T. Van der Linden, Relative commutator theory in semi-abelian categories, J. Pure Appl. Algebra 216 (2012), 1791-1806.
- 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.
- M. Hartl and T. Van der Linden, The ternary commutator obstruction for internal crossed modules, Adv. Math. 232 (2013), 571-607.
- J.R.A. Gray, A note on the distributivity of the Huq commutator over finite joins, Appl. Categ. Structures 22 (2014), 305-310.
- D.J. Bourn, A structural aspect of the category of quandles, J. Knot Theory Ramifications 24 (2015) no. 12, 1550060.
- C. Berger and D.J. Bourn, Central reflections and nilpotency in exact Maltsev categories, Homotopy Relat. Struct. 11 (2016). DOI:10.1007/s40062-016-0165-8
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