Global Utilities

La Trobe University
Department of Mathematics and Statistics

Publications by Dr Jane Pitkethly

Books

  1. J. Pitkethly and B. Davey, Dualisability: Unary Algebras and Beyond, Springer, 2005.

Chapters of Books

  1. G. Cairns, B. Jessup and J. Pitkethly, On the Betti numbers of nilpotent Lie algebras of small dimension, Integrable systems and foliations/Feuilletages et systèmes intégrables (Montpellier, 1995) (C. Albert, R. Brouzet and J. P. Dufour, eds), Progr. Math. 145, Birkhäuser, 1997, pp. 19–31.

Journal Articles

  1. J. G. Pitkethly, Uncountably many dualisable algebras, submitted.
  2. B. A. Davey, J. G. Pitkethly and R. Willard, The lattice of alter egos (PDF 397KB), submitted.
  3. B. A. Davey and J. G. Pitkethly, Counting the relations compatible with an algebra, Internat. J. Algebra Comput., to appear.
  4. B. A. Davey, M. Haviar and J. G. Pitkethly, Using coloured ordered sets to study finite-level full dualities, Algebra Universalis, to appear.
  5. D. M. Clark, B. A. Davey, J. G. Pitkethly and D. L. Rifqui, Flat unars: the primal, the semi-primal and the dualisable, Algebra Universalis, to appear.
  6. J. G. Pitkethly, A full duality that cannot be upgraded to a strong duality, Houston J. Math. 35 (2009), 757–774.
  7. D. M. Clark, B. A. Davey, M. Jackson and J. G. Pitkethly, The axiomatizability of topological prevarieties (PDF 446KB), Adv. Math. 218 (2008), 1604–1653.
  8. B. A. Davey, M. Jackson, J. G. Pitkethly and M. R. Talukder, Natural dualities for semilattice-based algebras (PDF 308KB), Algebra Universalis 57 (2007), 463–490.
  9. B. A. Davey, J. G. Pitkethly and R. Willard, Dualisability versus residual character: a theorem and a counterexample (PDF 325KB), J. Pure Appl. Algebra 210 (2007), 423–435.
  10. J. Hyndman and J. G. Pitkethly, How finite is a three-element unary algebra? (PDF 532KB), Internat. J. Algebra Comput. 15 (2005), 217–254.
  11. D. M. Clark, B. A. Davey, M. Haviar, J. G. Pitkethly and M. R. Talukder, Standard topological quasi-varieties (PDF 387KB), Houston J. Math. 29 (2003), 859–887.
  12. D. M. Clark, B. A. Davey and J. G. Pitkethly, The complexity of dualisability: three-element unary algebras (PDF 624KB), Internat. J. Algebra Comput. 13 (2003), 361–391.
  13. J. G. Pitkethly, Inherent dualisability, Discrete Math. 269 (2003), 219–237.
  14. J. G. Pitkethly, Dualisability and algebraic constructions, Acta Sci. Math. (Szeged) 68 (2002), 571–591.
  15. J. G. Pitkethly, Strong and full dualisability: three-element unary algebras, J. Aust. Math. Soc. 73 (2002), 187–219.
  16. J. G. Pitkethly and B. A. Davey, A non-dualisable entropic algebra (PDF 168KB), Algebra Universalis 47 (2002), 51–54.
  17. D. M. Clark, B. A. Davey and J. G. Pitkethly, Binary homomorphisms and natural dualities (PDF 234KB), J. Pure Appl. Algebra 169 (2002), 1–28.
  18. B. A. Davey and J. G. Pitkethly, Dualisability of p-semilattices (PDF 66KB), Algebra Universalis 45 (2001), 149–153.
  19. J. G. Pitkethly, Endoprimal implication algebras (PDF 103KB), Algebra Universalis 41 (1999), 201–211.
  20. B. A. Davey and J. G. Pitkethly, Endoprimal algebras (PDF 276KB), Algebra Universalis 38 (1997), 266–288.

 

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