Hostname: page-component-8448b6f56d-gtxcr Total loading time: 0 Render date: 2024-04-23T10:34:15.223Z Has data issue: false hasContentIssue false
  • English
  • Français

Semidirect products of semigroups†

Published online by Cambridge University Press:  14 November 2011

G. B. Preston
G. B. Preston
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria, Australia 3168
Get access Rights & Permissions [Opens in a new window]

Synopsis

Two alternative characterizations of semidirect products of semigroups are given. Characterizations are provided of such products that are groups, regular semigroups, and inverse semigroups, respectively.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 102 , Issue 1-2 , 1986 , pp. 91 - 102
Copyright
Copyright © Royal Society of Edinburgh 1986

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Batbedat, A.. Le produit demi-direct pour les demi-groupes inverses. Semigroup Forum 17 (1979), 283–305.CrossRefGoogle Scholar
2Neumann, B. H.. Embedding theorems for semigroups. J. London Math. Soc. 35 (1960), 184–192.CrossRefGoogle Scholar
3Nico, W. R.. On the regularity of semidirect products. J. Algebra 80 (1983), 29–36.CrossRefGoogle Scholar
4Usenko, V. M.. On semidirect products of monoids. Ukrainian Math. J. 34 (1982), 151–155. (Translation of Ukrain. Mat. Z. 34 (1982), 185–189, 268.)CrossRefGoogle Scholar