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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. Bogdanowić, Semigroups with a system of subsemigroups.University of Nory Sad, Institute of Mathematics, Novy Sad, 1985.
J. M. Howie, Introduction to semigroup theory.Academic Press, London, New York, San Francisco, 1972.
W. R. Nico, On the regularity of semidirect products.J. Algebra 80(1983), 29–36.
T. Saito, Orthodox semidirect products and wreath products of monoids.Semigroup Forum 38(1989), 347–354.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zhang, Y., Li, S. & Wang, D. Semidirect products and wreath products of strongly π-inverse monoids. Georgian Mathematical Journal 3, 293–300 (1996). https://doi.org/10.1007/BF02280010
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02280010