Semigroup Forum

, Volume 5, Issue 1, pp 262–269 | Cite as

Free inverse semigroups

  • W. D. Munn
Research Announcements


Various methods have been given for establishing the existence of the free inverse semigroup FIA on a set A, and for constructing it explicitly (see, for example, [2], [5], [7], [9], [10], [11]). In this paper we outline a graph-theoretic technique for representing the elements of FIA. This depends on the notion, introduced here, of a word-tree on A. With the aid of this technique various properties of FIA are easily deduced: some of these are stated below.


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Copyright information

© Springer-Verlag New York Inc 1973

Authors and Affiliations

  • W. D. Munn
    • 1
  1. 1.Department of MathematicsThe UniversityStirlingScotland

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