Publications

  1. Conjugacy in inverse semigroups
    (with J. Araujo and M. Kinyon),  Journal of Algebra 533 (2019), 142-173.
  2. Second centralizers in the semigroup of injective transformations,  Asian-European Journal of Mathematics, doi.org/10.1142/S1793557120500692.
  3. The semigroup of surjective transformations on an infinite set,  Algebra Colloquium 26 (2019), 9-22.
  4. Decidability and independence of conjugacy problems in finitely presented monoids (with J. Araujo, M. Kinyon, and A. Malheiro), Theoretical Computer Science 731 (2018), 88-98.
  5. Automorphism groups of circulant digraphs with applications to semigroup theory (with J. Araujo, W. Bentz, E. Dobson, and J. Morris), Combinatorica 38 (2018), 1-28.
  6. Centralizers of full injective transformations in the symmetric inverse semigroup, Semigroup Forum 96 (2018), 474-488.
  7. A new definition of conjugacy for semigroupsJournal of Algebra and Its Applications 17, 1850032 (2018) [20 pages].
  8. Four notions of conjugacy for abstract semigroup(with J. Araujo, M. Kinyon,  and A. Malheiro),  Proceedings of the Royal Society of Edinburgh, Section A: Mathematics  147 (2017) , 1169-1214.
  9. Directed graphs of inner translations of semigroups (with J. Araujo and W. Bentz), Semigroup Forum  94 (2016), 650-673.
  10. The commuting graph of the symmetric inverse semigroup (with J. Araujo and W. Bentz),  Israel Journal of Mathematics 207 (2015), 103-149.
  11. The largest subsemilattices of the endomorphism monoid of an independence algebra  (with J. Araujo and W. Bentz), Linear Algebra and its Applications 458 (2014), 60-79.
  12. Automorphism groups of endomorphism monoids of free G-sets,
    Asian-European Journal of Mathematics 7 (2014), 120-134.
  13. Conjugation in semigroups  (with J. Araujo and A. Malheiro),  Journal of Algebra 403 (2014), 93-134.
  14. Centralizers in the infinite symmetric inverse semigroup, Bulletin of the Australian Mathematical Society 87 (2013), 462-479.
  15. Centralizers in the full transformation semigroup (with J. Araujo), Semigroup Forum 86 (2013), 1-31.
  16. Sn-normal semigroups of partial transformations (with S.V. Droms and R. Palomba), Algebra Colloquium 19 (2012), 947-970.
  17. A method for finding new sets of axioms for classes of semigroup(with J. Araujo), Archive for Mathematical Logic 51 (2012), 461-474.
  18. A proof of Devadze’s theorem on generators of the semigroup of Boolean matrices,  Semigroup Forum 83 (2011), 281-288.
  19. Regular centralizers of idempotent transformations (with J. Andre and J. Araujo), Semigroup Forum 82 (2011), 307-318.
  20. Infinite injective transformations whose centralizers have simple structure, Central European Journal of Mathematics 9 (2011), 23-35.
  21. Minimal paths in the commuting graphs of semigroups (with J. Araujo and M. Kinyon), European Journal of Combinatorics 32 (2011), 178-197.
  22. Centralizers in the semigroup of injective transformations on an infinite setBulletin of the Australian Mathematical Society 82 (2010), 305-321.
  23. Automorphisms of endomorphism semigroups of reflexive digraphs (with J. Araujo and E. Dobson), Mathematische Nachrichten 283 (2010), 939-964.
  24. General Theorems on Automorphisms of Semigroups and Their Applications (with J. Araujo), Journal of the Australian Mathematical Society 87 (2009), 1-17.
  25. Automorphisms of endomorphism monoids if 1-simple free algebras (with J. Araujo), Communications in Algebra 37 (2009), 83-94.
  26. The monoid of holomorphic endomorphisms of a group and its automorphisms (with J. Araujo), Semigroups, Acts and Categories with Applications to Graphs, 7–13, Mathematics Studies (Tartu) 3, Estonian Mathematical Society, Tartu, 2008.
  27. Automorphisms of endomorphism monoids of relatively free bands (with J. Araujo), Proceedings of the Edinburgh Mathematical Society 50 (2007), 1-21.
  28. A method of finding automorphism groups of endomorphism monoids of relational systems (with J. Araujo), Discrete Mathematics 307 (2007), 1609-1620.
  29. Balanced subgroups of symmetric groups (with L. Lehman and S. Lipscomb), JP Journal of Algebra, Number Theory and Applications 5 (2005), 307-329.
  30. Dense relations are determined by their endomorphism monoids (with J. Araujo), Semigroup Forum 70 (2005), 302-306.
  31. Semigroups of transformations preserving an equivalence relation and a cross-section (with J. Araujo), Communications in Algebra 32 (2004), 1917-1935.
  32. Semigroups of transformations commuting with injective nilpotentsCommunications in Algebra 32 (2004), 1551-1569.
  33. Automorphism groups of centralizers of idempotents (with J. Araujo), Journal of Algebra 269 (2003), 227-239.
  34. Regular, inverse, and completely regular centralizers of permutationsMathematica Bohemica 128 (2003), 179-186.
  35. The class equation and counting in factorizable monoids (with S. Lipscomb), Proceedings of the American Mathematical Society 131 (2003), 3345-3351.
  36. Molaei’s generalized groups are completely simple semigroups (with J. Araujo), Bulletin of the Polytechnic Institute of Jassy 48 (2002), 1-5.
  37. Semigroups of transformations commuting with idempotentsAlgebra Colloquium 9 (2002), 121-134.
  38. The semigroup generated by regular Boolean matricesSoutheast Asian Bulletin  of Mathematics 25 (2002), 627-641.
  39. Second centralizers of partial transformationsCzechoslovak Mathematical Journal 51 (2001), 873-888.
  40. Green’s relations and regularity in centralizers of permutationsGlasgow Mathematical Journal 41 (1999), 45-57.
  41. Centralizers in the semigroup of partial transformations (with S. Lipscomb), Mathematica Japonica 48 (1998), 367-376.
  42. Centralizers of permutations in the partial transformation semigroup (with S. Lipscomb), Pure Mathematics and Applications 6 (1995), 349-354.
  43. Reduced idempotents in the semigroup of Boolean matricesJournal of Symbolic Computation 20 (1995), 471-482.
  44. Classification of Sn-normal semigroups (with S. Lipscomb), Semigroup Forum 51 (1995), 73-86.
  45. Green’s equivalences in finite semigroups of binary relationsSemigroup Forum 48 (1994), 235-252.
  46. Remarks on the structure of the multiplicative monoid of integers modulo mSemigroup Forum 46 (1993), 266-269.
  47. On cardinalities of row spaces of Boolean matrices, Semigroup Forum 44 (1992), 393-402.
  48. On interleaving behaviour of PT-nets (with K. Jojczyk and T. Kuzak), Theoretical Computer Science 64 (1989), 25-38.