Semigroup Forum

, Volume 21, Issue 1, pp 1–7 | Cite as

Subgroups of free idempotent generated regular semigroups

  • K. S. S. Nambooripad
  • F. Pastijn
Research Article


In [6] it is shown that the maximal subgroups of the free idempotent generated regular semigroup which is determined by the biordered set of a completely O-simple semigroup are free. In this note we shall extend this result to a wider class of semigroups.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Clifford, A. H.,The partial groupoid of idempotents of a regular semigroup, Semigroup Foorum 10 (1975), 262–268.MATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Kurosh, A. G.,The Theory of Groups, Vol. II, New York (1960).Google Scholar
  3. 3.
    MacLane, S.,Categories for the Working Mathematician, Berlin (1971).Google Scholar
  4. 4.
    Nambooripad, K. S. S.,Structure of Regular Semigroups I, Mem. Amer. Math. Soc., to appear.Google Scholar
  5. 5.
    Nambooripad, K. S. S.,Pseudo-semilattices and biordered sets, to appear.Google Scholar
  6. 6.
    Pastijn, F.,Idempotent-generated completely O-simple semigroups, Semigroup Forum 15 (1977), 41–50.MATHCrossRefMathSciNetGoogle Scholar
  7. 7.
    Pastijn, F.,The biorder on the partial groupoid of idempotents of a semigroup, J. Algebra, to appear.Google Scholar
  8. 8.
    Pastijn, F.,Rectangular bands of inverse semigroups, preprint.Google Scholar

Copyright information

© Springer-Verlag New York Inc 1980

Authors and Affiliations

  • K. S. S. Nambooripad
    • 1
  • F. Pastijn
    • 2
  1. 1.Department of MathematicsUniversity of KeralaKariavattomIndia
  2. 2.Dienst Hogere MeetkundeRijksuniversiteit te GentGentBelgium

Personalised recommendations