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Original Articles

On the Finite and Nonfinite Generation of Diagonal Acts

Pages 3123-3137 | Received 15 Apr 2005, Published online: 23 Nov 2006

REFERENCES

  • Bulman-Fleming , S. , McDowell , K. ( 1989 ). Problem e3311 . Amer. Math. Monthly 96 : 155 . Solution appeared in Amer. Math. Monthly 1990 , 97 : 167 . [CSA]
  • Gallagher , P. , Ruskuc , N. Finite generation of diagonal acts of some infinite semigroups of transformations and relations . To appear in Bull. Austral. Math. Soc. [CSA]
  • Gallagher , P. On the finite and non-finite generation of finitary power semigroups . Submitted . [CSA]
  • Higgins , P. M. (1992). Techniques of Semigroup Theory . Oxford : Oxford University Press.
  • Howie , J. M. ( 1995 ). Fundamentals of Semigroup Theory . Oxford : Clarendon Press .
  • Robertson , E. F. , Ruskuc , N. , Thomson , M. R. ( 2001 ). On diagonal acts of monoids . Bull. Austral. Math. Soc. 63 : 167 – 175 . [CSA]
  • Robertson , E. F. , Ruskuc , N. , Thomson , M. R. ( 2002 ). On finite generation and other finiteness conditions for wreath products of semigroups . Comm. Algebra 30 ( 8 ): 3851 – 3873 . [CSA] [CROSSREF]
  • Thomson , M. R. ( 2001 ). Finiteness Conditions of Wreath Products of Semigroups and Related Properties of Diagonal Acts . Ph.D. thesis, University of St. Andrews . [CSA]
  • Communicated by V. Gould.

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