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


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


Key words and phrases

Wreath product π-inverse monoid regular monoid group congruence 


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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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