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Arithmetical Aspects of Semigroup Embeddings

  • John M. Howie

Abstract

By an abstract class of semigroups we shall mean a class C with the property that S ∈ C and T ≈ S implies T ∈ C. A semigroup in C will frequently be called a C-semigroup.

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References

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    Emilia Giraldes and J. M. Howie, Embedding semigroups in semibands of minimal depth, Semigroup Forum 28 (1984) 135–142.MathSciNetzbMATHCrossRefGoogle Scholar
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    John M. Howie, The subsemigroup generated by the idempotents of a full transformation semigroup, J. London Math. Soc. 41 (1966) 707–716.MathSciNetzbMATHCrossRefGoogle Scholar
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    John M. Howie, Embedding semigroups in semibands: some arithmetical results, Quart. J. Math. Oxford (2) 32 (1981) 323–327.MathSciNetCrossRefGoogle Scholar
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    John M. Howie, Embedding semigroups in nilpotent-generated semigroups, Math. Slovaca 39 (1989) 47–54.MathSciNetzbMATHGoogle Scholar
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    John E. Jones, Minimal embeddings in inverse semigroups, M. Sc. Thesis, University of St. Andrews, 1988.Google Scholar

Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • John M. Howie
    • 1
  1. 1.Mathematical InstituteUniversity of St. AndrewsSt. Andrews, FifeScotland

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