Science, Technology and Engineering

To appear

1. L. Barto, M Kozik, M. Maróti, R. McKenzie and T. Niven, Congruence modularity implies cyclic terms for finite algebras, Algebra Universalis, to appear.
2. B. A. Davey, M. Jackson, M. Maróti and R. N. McKenzie, Principal and syntactic congruences in congruence-distributive and congruence-permutable varieties, J. Aust. Math. Soc., to appear.
3. J. East, Cofull embeddings in coset monoids, J. Aust. Math. Soc., to appear.
8. J. East, Presentations for singular subsemigroups of the partial transformation semigroup, Internat. J. Algebra Comput., to appear.
9. J. East, On a class of factorizable inverse monoids associated with braid groups, Comm. Algebra, to appear.
10. B. J. Gardner and M. Jackson, The Kuratowski Closure-Complement Theorem, New Zealand J. Math., to appear.
11. M. Jackson and T. Stokes, Partial maps with domain and range: extending Schein’s representation, Comm. Algebra, to appear.
12. M. Jackson and T. Stokes, Algebras of partial maps, Proceedings of the Special Interest Meeting on Semigroup Theory and Related Mathematics (Sydney, 2005), to appear.
13. M. Jackson and B. Trotta, The division relation: congruence conditions and axiomatisability, Comm. Algebra, to appear.
14. M. Jackson and M. Volkov, Relatively inherently nonfinitely q-based semigroups, Trans. Amer. Math. Soc., to appear.

Published in 2008

1. J. Banks, G. Cairns, M. Jackson, M. Jerie, Y. Nikolayevski and T. Poole, On the definition of topology - a cautionary tale, Austral. Math. Soc. Gaz. 35 (2008), 195–202.
2. D. M. Clark, B. A. Davey, M. Jackson and J. G. Pitkethly, The axiomatizability of topological prevarieties, Adv. Math. 218 (2008), 1604–1653.
3. D. Easdown, J. East and D. G. FitzGerald, A presentation of the dual symmetric inverse monoid, Internat. J. Algebra Comput. 18 (2008), 357–374.
4. M. Jackson, Flat algebras and the translation of universal Horn logic to equational logic, J. Symbolic Logic 73 (2008), 90–128.
5. M. Jackson, Residual bounds for compact totally disconnected algebras, Houston J. Math. 34 (2008), 33–67.

Published in 2007

1. D. M. Clark, B. A. Davey and R. Willard, Not every full duality is strong!, Algebra Universalis 57 (2007), 375–381.
2. B. A. Davey, M. Haviar and T. Niven, When is a full duality strong?, Houston J. Math. 33 (2007), 1–22.
3. B. A. Davey, M. Haviar, T. Niven and N. Perkal, Full but not strong dualities at the finite level: extending the realm, Algebra Universalis 56 (2007), 37–56.
4. B. A. Davey, M. Haviar and H. A. Priestley, Boolean topological distributive lattices and canonical extensions, Appl. Categ. Structures 15 (2007), 225–241.
5. B. A. Davey, M. Jackson, J. Pitkethly and M. R. Talukder, Natural dualities for semilattice-based algebras, Algebra Universalis 57 (2007), 463–490.
6. B. A. Davey, J. G. Pitkethly and R. Willard, Dualisability versus residual character: a theorem and a counterexample, J. Pure Appl. Algebra 210 (2007), 423–435.
7. J. East, Vines and partial transformations, Adv. Math. 216 (2007), 787–810.
8. J. East, Braids and partial permutations, Adv. Math. 213 (2007), 440–461.
9. T. Niven, Dualisable but not fully dualisable algebras, Internat. J. Algebra Comput. 17 (2007), 347–367.
10. T. Niven, Structural reducts and the full implies strong problem, Algebra Universalis 57 (2007), 101-107.

Published in 2006

1. E. Beveridge, D. Casperson, J. Hyndman and T. Niven, Irresponsibility indicates an inability to be strong, Algebra Universalis 55 (2006), 457–477.
2. B. A. Davey, Natural dualities for structures, Acta Univ. M. Belii Ser. Math. 13 (2006), 3–28.
   
3. D. Easdown, J. East and D. G. FitzGerald, Presentations of factorizable inverse monoids, Acta Sci. Math. (Szeged) 71 (2005), 509–520.
4. J. East, Factorizable inverse monoids of cosets of subgroups of a group, Comm. Algebra 34 (2006), 2659–2665.
5. J. East, Cellular algebras and inverse semigroups, J. Algebra 296 (2006), 505–519.
6. J. East, The factorizable braid monoid, Proc. Edinb. Math. Soc. (2) 49 (2006), 609–636.
7. J. East, A presentation of the singular part of the symmetric inverse monoid, Comm. Algebra 34 (2006), 1671–1689.
8. J. East, Birman's Conjecture is true for I2(p), J. Knot Theory Ramifications 15 (2006), 167–177.
9. M. Jackson and R. McKenzie, Interpreting graph colourability in finite semigroups, Internat. J. Algebra Comput. 16 (2006), 119–140.
10. M. Jackson and T. Stokes, Identities in the algebra of partial maps, Internat. J. Algebra Comput. 16 (2006), 1131–1159.

Published in 2005

1. J. Banks and B. Trotta, Weak mixing implies mixing for maps on topological graphs, J. Difference Equ. Appl. 11 (2005), 1071–1080.
2. B. A. Davey, M. Haviar and R. Willard, Structural entailment, Algebra Universalis 54 (2005), 397–416.
3. B. A. Davey, M. Haviar and R. Willard, Full does not imply strong, does it?, Algebra Universalis 54 (2005), 1–22.
4. B. A. Davey and M. R. Talukder, Dual categories for endodualisable Heyting algebras: optimization and axiomatization, Algebra Universalis 53 (2005), 331–355.
5. J. Hyndman and J. G. Pitkethly, How finite is a three-element unary algebra?, Internat. J. Algebra Comput. 15 (2005), 217–254.
6. M. Jackson, Syntactic semigroups and the finite basis problem, Structural Theory of Automata, Semigroups, and Universal Algebra (Montreal, 2003) (V. B. Kudryavtsev and I. G. Rosenberg, eds), NATO Sci. Ser. II: Math. Phys. Chem. 207, Springer, 2005, pp. 159–167.
7. M. Jackson, Finite semigroups with infinite irredundant identity bases, Internat. J. Algebra Comput. 15 (2005), 405–422.
8. M. Jackson, Finiteness properties of varieties and the restriction to finite algebras, Semigroup Forum 70 (2005), 159–187.
9. J. G. Pitkethly and B. A. Davey, Dualisability: Unary Algebras and Beyond, Springer, 2005.

Published in 2004

1. D. M. Clark, B. A. Davey, R. S. Freese and M. Jackson, Standard topological algebras: syntactic and principal congruences and profiniteness, Algebra Universalis 52 (2004), 343–376.
2. B. A. Davey and M. Haviar, Applications of Priestley duality in transferring optimal dualities, Studia Logica 78 (2004), 213–236.
3. D. Easdown, J. East and D. G. FitzGerald, Braids and factorizable inverse monoids, Semigroups and Languages (I. M. Araujo, M. J. J. Branco, V. H. Fernandes and G. M. S. Gomes, eds), World Scientific, 2004, pp. 86–105.
4. M. Jackson, Semilattices with closure, Algebra Universalis 52 (2004), 1–37.
5. M. Jackson and T. Stokes, Semilattice pseudo-complements on semigroups, Comm. Algebra 32 (2004), 2895–2918.

Published in 2003

1. D. M. Clark, B. A. Davey, M. Haviar, J. G. Pitkethly and M. R. Talukder, Standard topological quasi-varieties, Houston J. Math. 29 (2003), 859–887.
2. D. M. Clark, B. A. Davey and J. G. Pitkethly, The complexity of dualisability: three-element unary algebras, Internat. J. Algebra Comput. 13 (2003), 361–391.
3. B. A. Davey and J. C. Galati, A coalgebraic view of Heyting duality, Studia Logica 75 (2003), 259–270.
4. B. A. Davey and M. Haviar, Transferring optimal dualities: theory and practice, J. Aust. Math. Soc. 74 (2003), 393–420.
5. B. A. Davey and M. R. Talukder, Functor category dualities for varieties of Heyting algebras, J. Pure Appl. Algebra 178 (2003), 49–71.
6. M. Jackson, Dualisability of finite semigroups, Internat. J. Algebra Comput. 13 (2003) 481–497.
7. M. Jackson and T. Stokes, Agreeable semigroups, J. Algebra 266 (2003), 393–417.
8. J. G. Pitkethly, Inherent dualisability, Discrete Math. 269 (2003), 219–237.

Published in 2002

1. D. M. Clark, B. A. Davey and J. G. Pitkethly, Binary homomorphisms and natural dualities, J. Pure Appl. Algebra 169 (2002), 1–28.
2. B. A. Davey and B. J. Knox, From rectangular bands to k-primal algebras, Semigroup Forum 64 (2002), 29–54.
3. B. A. Davey and H. A. Priestley, Introduction to Lattices and Order, Second edition, Cambridge University Press, 2002.
4. M. Jackson, Generalising congruence regularity for varieties, Algebra Universalis 48 (2002), 249–252.
5. M. Jackson, On locally finite varieties with undecidable equational theory, Algebra Universalis 47 (2002), 1–6.
6. M. Jackson, Small inherently nonfinitely based finite semigroups, Semigroup Forum 64 (2002), 297–324.
7. J. G. Pitkethly, Dualisability and algebraic constructions, Acta Sci. Math. (Szeged) 68 (2002), 571–591.
8. J. G. Pitkethly, Strong and full dualisability: three-element unary algebras, J. Aust. Math. Soc. 73 (2002), 187–219.
9. J. G. Pitkethly and B. A. Davey, A non-dualisable entropic algebra, Algebra Universalis 47 (2002), 51–54.