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publications
a list of publications by J. D. Mitchell in MathSciNet.
  1. (with A. Distler) ‘The number of nilpotent semigroups of degree 3’, preprint; http://arxiv.org/abs/1201.3529.
  2. (with J. East and Y. Péresse) ‘Maximal subsemigroups of the semigroup of all mappings on an infinite set’, preprint; http://arxiv.org/abs/1104.2011.
  3. (with Z. Mesyan, Y. Péresse, and M. Morayne) ‘The Bergman-Shelah preorder on transformation semigroups’, submitted; http://arxiv.org/abs/1109.2706.
  4. (with J. Araújo, V. H. Fernandes, M. M. Jesus, and V. Maltcev) ‘Automorphisms of partial endomorphism semigroups’, Publ. Math. Debrecen 79 (2011) 23-39; http://dx.doi.org/10.5486/PMD.2011.4703; pdf.
  5. (with J. Araújo and C. Schneider) ‘Groups that together with any transformation generate regular semigroups or idempotent generated semigroups’, Journal of Algebra 343 (2011) 93-106; http://dx.doi.org/10.1016/j.jalgebra.2011.07.002; pdf; see also the paper's webpage.
  6. (with Y. Péresse) ‘Generating countable sets of surjective functions’, Fund. Math. 213 (2011) 67-93; http://dx.doi.org/10.4064/fm213-1-4; pdf.
  7. (with U. Darji) ‘Approximation of automorphisms of the rationals and the random graph’, Journal of Group Theory 14 (2011) 361-388; http://dx.doi.org/10.1515/JGT.2010.057; pdf.
  8. (with M. Morayne and Y. Péresse) ‘Generating the infinite symmetric group using a closed subgroup and the least number of other elements’, Proc. Amer. Math. Soc. 139 (2011) 401-405; http://dx.doi.org/10.1090/S0002-9939-2010-10694-9; pdf.
  9. (with J. Cichoń, M. Morayne, and Y. Péresse) ‘Relative ranks of Lipschitz mappings on countable discrete metric spaces’, Topology and its Applications 158 (2011) 412-423; http://dx.doi.org/10.1016/j.topol.2010.11.020; pdf.
  10. (with M. Morayne, Y. Péresse, and M. Quick) ‘Generating transformation semigroups using endomorphisms of preorders, graphs, and tolerances’, Annals of Pure and Applied Logic 161 (2010) 1471-1485; http://dx.doi.org/10.1016/j.apal.2010.05.001; pdf.
  11. (with V. H. Fernandes, M. M. Jesus, and V. Maltcev) ‘Endomorphisms of the semigroup of order-preserving mappings’, Semigroup Forum 81 (2010) 277-285; http://dx.doi.org/10.1007/s00233-010-9220-7; pdf.
  12. (with J. Araújo, P. von Bünau and M. Neunhoeffer) ‘Computing automorphisms of semigroups’, J. Symbolic Comput. 45 (2010) 373-392; http://dx.doi.org/10.1016/j.jsc.2009.10.001; pdf.
  13. (with V. Maltcev and N. Ruskuc) ‘The Bergman property for semigroups’, J. Lond. Math. Soc. 80 (2009) 212-232; http://dx.doi.org/10.1112/jlms/jdp025.
  14. (with S. Huczynska and C. M. Roney-Dougal eds.) ‘Surveys in Combinatorics’, 2009, LMS Lecture Note Series, 365, Cambridge University Press 2009.
  15. (with U. Darji) ‘Highly transitive subgroups of the symmetric group on the natural numbers’, Colloq. Math. 112 (2008) 163-173; http://dx.doi.org/10.4064/cm112-1-9; pdf.
  16. (with R. Gray) ‘Largest subsemigroups of the full transformation monoid’, Discrete Math. 308 (2008) 4801-4810; http://dx.doi.org/10.1016/j.disc.2007.08.075; pdf.
  17. (with Y. Péresse and M. Quick) ‘Generating sequences of functions’, Q. J. Math. 58 (2007) 71-79; http://dx.doi.org/10.1093/qmath/hal011; pdf.
  18. (with J. M. André and V. H. Fernandes) ‘Largest 2-generated subsemigroups of the symmetric inverse semigroup’, Proc. Edinburgh Math. Soc. 50 (2007) 551-561; http://dx.doi.org/10.1017/S0013091505001598; pdf.
  19. (with J. Araújo) ‘Relative ranks in the monoid of endomorphisms of independence algebras of infinite rank’, Monatsh. Math. 151 (2007) 1-10; http://dx.doi.org/10.1007/s00605-006-0433-5; pdf.
  20. (with J. Cichoń and M. Morayne) ‘Generating continuous mappings with Lipschitz mappings’, Trans. Amer. Math. Soc. 359 (2007) 2059-2074; http://dx.doi.org/10.1090/S0002-9947-06-04026-8; pdf.
  21. (with P. M. Higgins, M. Morayne and N. Ruskuc) ‘Rank properties of endomorphisms of infinite partially ordered sets’, Bull. London Math. Soc. 38 (2006) 177-191; http://dx.doi.org/10.1112/S0024609305018138; pdf.
  22. (with I. Levi) ‘On rank properties of endomorphisms of finite circular orders’, Comm. Algebra 34 (2006) 1237-1250; http://dx.doi.org/10.1080/00927870500454091; pdf.
  23. (with J. Araújo) ‘An elementary proof that every singular nxn matrix is a product of idempotents’, Amer. Math. Monthly 112 (2005) 641-645; http://dx.doi.org/10.2307/30037549; pdf.
  24. ‘Turan's graph theorem and maximum independent sets in Brandt semigroups’, Proceedings of the Workshop Semigroups and Languages (Lisbon, 2002), 151-163 World Sci. Publishing, 2004; http://dx.doi.org/10.1142/9789812702616_0009; pdf.
  25. (with J. Araújo and N. Silva) ‘On generating countable sets of endomorphisms’, Algebra Universalis 50 (2003) 61-67; http://dx.doi.org/10.1007/s00012-003-1809-1.
  26. (with J. M. Howie, P. M. Higgins and N. Ruskuc) ‘Countable versus uncountable rank in infinite semigroups of transformations and relations’, Proc. Edinburgh Math. Soc. 46 (2003) 531-544. Available: as pdf.
  27. (with P. M. Higgins and N. Ruskuc) ‘Generating infinite full transformation semigroups using order preserving maps’, Glasgow Math. J. 45 (2003) 557-566. Available: as pdf.
  28. (with C. M. Campbell and N. Ruskuc) ‘On the efficiency and deficiency of Rees matrix semigroups’, Semigroups, algorithms, automata and languages (Coimbra, 2001), 331-339, World Sci. Publishing, 2002. Available: as pdf.
  29. (with C. M. Campbell and N. Ruskuc) ‘Comparing semigroup and monoid presentations for finite monoids’, Months. Math. 134 (2002) 287-293. Available: as pdf.
  30. (with C. M. Campbell and N. Ruskuc) ‘On defining groups efficiently without inverses’, Math. Proc. Cambridge Philos. Soc. 133 (2002) 31-36. Available: as pdf.