Subsemigroups of Free Semigroups

  • B. J. Saunders


The notion of a metrical semigroup is introduced. A metrical morphism between metrical semigroups is defined. It is then discussed how these notions help in investigating the problem of embedding a semigroup into a free semigroup.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    L. G. Budkina and Al.A. Markov, On F-semigroups with three generators, Mat. Zametkt. Vol 14, No. 2 (1973) 267–277 (Russian) and Math. Notes, 14 (1974) 711-716 (Translation).MathSciNetGoogle Scholar
  2. 2.
    A.H. Clifford and G.B. Preston, The algebraic theory of semigroups, Vol. 2, Math Surveys of the American Mathematical Society no.7, 1967.Google Scholar
  3. 3.
    G. Lallement, Semigroups and combinatorial applications, Wiley and Sons, 1979.Google Scholar
  4. 4.
    R. C. Lyndon, Length functions in groups, Math. Scand., Vol. 12 (1963), 209–234.MathSciNetzbMATHGoogle Scholar
  5. 5.
    B. J. Saunders, Semigroups with length morphisms, PhD thesis, University of St. Andrews, 1988.Google Scholar
  6. 6.
    J. C. Spehner, Tout sous-monoide finiment engendré d’un monoide libre admet une présentation de Malcev finie, C. R. Acad. Sc. Paris, t. 301 Serie 1, No. 18 (1985), 853–856.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • B. J. Saunders
    • 1
  1. 1.Mathematical InstituteUniversity of. St. AndrewsSt. Andrews, FifeScotland

Personalised recommendations