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Original Articles

On a Problem of M. Kambites Regarding Abundant Semigroups

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Pages 4439-4447 | Received 19 Jan 2011, Published online: 10 Oct 2012

REFERENCES

  • Clifford , A. H. , Preston , G. B. ( 1961 ). The Algebraic Theory of Semigroups I, Mathematical Surveys, N. 7 . Providence , R.I : American Mathematical Society .
  • Fountain , J. ( 1979 ). Adequate semigroups . Proc. Edinburgh Math. Soc. (2) 22 ( 2 ): 113 – 125 .
  • Fountain , J. ( 1982 ). Abundant semigroups . Proc. London Math. Soc. (3) 44 ( 1 ): 103 – 129 .
  • Kambites , M. http://www.maths.manchester.ac.uk/mkambites/events/nbsan/
  • Kambites , M. Free adequate semigroups . J. Aust. Math. Soc. to appear, arXiv:0902.0297 .
  • McCune , W. ( 2009 ). Prover9 and Mace4. version 2009-11A. http://www.cs.unm.edu/ ∼mccune/prover9/
  • Araújo , J. , Kinyon , M. , Malheiro , A. A characterization of adequate semigroups by forbidden subsemigroups. To appear in the Proceedings of the Royal Society of Edinburgh.
  • Laradji , A. , Umar , A. ( 2004 ). On certain finite semigroups of order-decreasing transformations I . Semigroup Forum 69 : 184 – 200 .
  • Communicated by V. Gould.

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