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General Algebra and Its Applications 2013 : Problem Session

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Abstract

The problems listed below were presented during the problem session by participants at the Conference and Workshop on General Algebra and Its Applications, Melbourne, Australia, 15–19 July 2013.

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References

  1. McNulty, G.: A juggler’s dozen of easy problems (Well, easily formulated . . .), Algebra Universalis 74, 17–34 (2015)

  2. Al Dhamri N.: Dualities for quasivarieties of bands. Semigroup Forum 88, 417–432 (2014)

    Article  MathSciNet  Google Scholar 

  3. Bentz W., Davey B.A., Pitkethly J.G., Willard R.: Dualizability of automatic algebras. J. Pure Appl. Algebra 218, 1324–1345 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  4. Davey, B.A., Knox, B.J.: Regularising natural dualities. Acta Math. Univ. Comenianæ 68, 295–318 (1999)

  5. Jackson M.: Dualisability of finite semigroups. Internat. J. Algebra Comput. 13, 481–497 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  6. Jackson, M.: Natural dualities, nilpotence and projective planes. Algebra Universalis 74, 65–86 (2015)

  7. Kearnes, K.A., Szendrei, Á: Dualizable algebras with parallelogram terms. arXiv:1502.02192v1

  8. Nickodemus, M.H.: Natural Dualities for Finite Groups with Abelian Sylow Subgroups. PhD thesis, University of Colorado (2007)

  9. Pitkethly, J.G.: Dualisability and algebraic constructions. Acta Sci. Math. (Szeged) 68 571–591 (2002)

  10. Pitkethly J.G.: A full duality that cannot be upgraded to a strong duality, Houston J. Math. 35, 757–774 (2009)

    MathSciNet  MATH  Google Scholar 

  11. Pitkethly, J.G., Davey, B.A.: Dualisability—Unary Algebras and Beyond. Advances in Mathematics vol. 9, Springer, New York (2005)

  12. Clark, D.M., Davey, B.A., Freese, R.S., Jackson, M.: Standard topological quasivarieties: syntactic and principal congruences and profiniteness. Algebra Universalis 52, 343–376 (2004)

  13. Freese R., McKenzie R.: Commutator Theory for Congruence Modular Varieties, London Mathematical Society Lecture Note Series 125, Cambridge University Press, Cambridge (1987).

  14. Kearnes, K.A., Willard R.: Residually finite, congruence meet-semidistributive varieties of finite type have a finite residual bound. Proc. Amer. Math. Soc. 127, 2841–2850 (1999)

  15. McNulty G.F., Székely Z., Willard R.: Equational complexity of the finite algebra membership problem. Internat. J. Algebra Comput. 18, 1283–1319 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  16. Kazda, A., Kozik, M., McKenzie, R., Moore, M.: Absorption and directed Jónsson terms. arXiv:1502.01072 [math.RA]

  17. Clark D.: Evolution of algebraic terms I: term to term operation continuity. Internat. J. Algebra Comput. 23, 1175–1205 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  18. Clark, D., Keijzer, M., Spector, L.: Evolution of algebraic terms II: evolutionary algorithms (preprint)

  19. Auinger, K.: Pseudovarieties generated by Brauer type monoids. Forum Math. 26, 1–24 (2014)

  20. Davey, B.A., Jackson, M.G., Pitkethly, J.G., Szabó, C.: Finite degree: algebras in general and semigroups in particular. Semigroup Forum 83, 89–110 (2011).

  21. Dolinka, I.: Finite regular bands are finitely related. Bull Austral. Math. Soc. 87, 1–9 (2013)

  22. Dolinka, I., East, J., Evangelou, A., FitzGerald, D.G., Ham, N., Hyde, J., Loughlin, N: Enumeration of idempotents in diagram semigroups and algebras. J. Combin. Theory Ser. A 131, 119–152 (2015)

  23. Mayr P.: On finitely related semigroups. Semigroup Forum 86, 613–633 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  24. Volkov, M.V.: The finite basis problem for finite semigroups. Sci. Math. Jap. 53, 171–199 (2001)

  25. Bahls, P., Cole, J., Galatos, N., Jipsen, P., Tsinakis, C.: Cancellative residuated lattices. Algebra Universalis 50, 83–106 (2003)

  26. Galatos N., Jipsen P.: Periodic lattice-ordered pregroups are distributive. Algebra Universalis 68, 145–150 (2012)

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Mathematics and Statistics, La Trobe University, Victoria, 3086, Australia

    Marcel G. Jackson (ed.)

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  1. Marcel G. Jackson
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Correspondence to Marcel G. Jackson.

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Presented by R. Quackenbush.

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Jackson, M.G. General Algebra and Its Applications 2013 : Problem Session. Algebra Univers. 74, 9–16 (2015). https://doi.org/10.1007/s00012-015-0343-2

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