Advertisement

Semigroup Forum

, Volume 8, Issue 1, pp 169–176 | Cite as

A construction of inverse semigroups

  • Pierre Antoine Grillet
Article

Keywords

Inverse Semigroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    COUDRON,A.Sur les extensions de demi-groupes réciproques. Bull. Soc. Roy. Sci. Liège37 (1968) 409–419.Google Scholar
  2. [2]
    D'ALARCAO, H.Idempotent-separating extensions of inverse semigroups. J.Austral.Math.Soc.9 (1969) 211–217.Google Scholar
  3. [3]
    GRILLET, P.A.Left coset extensions. Semigroup Forum 7 (1974), 200Google Scholar
  4. [4]
    ——On regular semigroups and their multiplication. Semigroup Forum 8 (1974) 156–163.Google Scholar
  5. [5]
    LALLEMENT, G.Structure theorems for regular semigroups Semigroup Forum4 (1972) 95–123.Google Scholar
  6. [6]
    LEECH, J.E. ℋ-coextensions and the structure of bands of groups. Mem. Amer. Math Soc (to appear).Google Scholar
  7. [7]
    McALISTER, D.B. O-bisimple inverse semigroups. Proc. London Math. Soc. (to appear).Google Scholar
  8. [8]
    MUNN, W.D.Fundamental inverse semigroups. Quart. J. Math. Oxford (2)21 (1970) 157–170.Google Scholar
  9. [9]
    —— O-bisimple inverse semigroups. J. Algebra15 (1970) 570–588.Google Scholar
  10. [10]
    Some results on O-simple inverse semigroups. Symp. on Inverse Semogroups, Northern Ill.Univ.1973, 109–121.Google Scholar
  11. [11]
    PRESTON, G.B.Congruences on inverse semigroups. Second Fla.Symp. on Automata and Semigroups, 4pp. Gainesville Fla. 1971.Google Scholar
  12. [12]
    REILLY, N.R.Bisimple ω-semigroups. Proc. Glasgow Math. Assoc.7 (1966) 166–167.Google Scholar
  13. [13]
    ŠIRJAEV, V.M.Inverse semigroups with a given G-radical [Russian]. Dokl. Akad. Nauk BSSR14 (1970) 752–785Google Scholar
  14. [14]
    WARNE, R.J.Bisimple inverse semigroups mod groups. Duke Math. J.34 (1967) 787–811.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1974

Authors and Affiliations

  • Pierre Antoine Grillet
    • 1
  1. 1.Tulane UniversityNew Orleans

Personalised recommendations