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  • A NOTE ON PSEUDOVARIETIES OF COMPLETELY REGULAR SEMIGROUPS

  • Part of
  • JORGE ALMEIDA, ALFREDO COSTA
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 92 / Issue 2 / October 2015
    Published online by Cambridge University Press:
    16 June 2015, pp. 233-237
    Print publication:
    October 2015
    • Article
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  • A paper of Almeida and Trotter [‘The pseudoidentity problem and reducibility for completely regular semigroups’, Bull. Aust. Math. Soc.63 (2001), 407–433] makes essential use of free profinite semigroupoids over profinite graphs with infinitely many vertices. It has since been shown that such structures must be handled with great care. In this note, it is verified that the required properties hold for the profinite graphs considered by Almeida and Trotter, thereby filling the gaps in the proof.