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Georgian Mathematical Journal

, Volume 3, Issue 3, pp 293–300 | Cite as

Semidirect products and wreath products of strongly π-inverse monoids

  • Yufen Zhang
  • Shizheng Li
  • Desheng Wang
Article
  • 19 Downloads

Abstract

In this paper we determine the necessary and sufficient conditions for the semidirect products and the wreath products of two monoids to be strongly π-inverse. Furthermore, we determine the least group congruence on a strongly π-inverse monoid, and we give some important isomorphism theorems.

1991 Mathematics Subject Classification

20M18 

Key words and phrases

Wreath product π-inverse monoid regular monoid group congruence 

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References

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    S. Bogdanowić, Semigroups with a system of subsemigroups.University of Nory Sad, Institute of Mathematics, Novy Sad, 1985.Google Scholar
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    J. M. Howie, Introduction to semigroup theory.Academic Press, London, New York, San Francisco, 1972.Google Scholar
  3. 3.
    W. R. Nico, On the regularity of semidirect products.J. Algebra 80(1983), 29–36.Google Scholar
  4. 4.
    T. Saito, Orthodox semidirect products and wreath products of monoids.Semigroup Forum 38(1989), 347–354.Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • Yufen Zhang
    • 1
  • Shizheng Li
    • 1
  • Desheng Wang
    • 1
  1. 1.Department of MathematicsShandong Normal UniversityJinanP. R. China

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