Vol. 31, No. 2, 1969

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
Completely injective semigroups

Edmund H. Feller and Richard Laham Gantos

Vol. 31 (1969), No. 2, 359–366
Abstract

A semigroup S with identity is termed completely right injective if every right unitary S-system is injective. The semigroup S is called completely injective if every righl and left unitary S-system is injective. We prove that S is completely injective if and only if S is a semigroup with zero, where every right ideal and every left ideal of S is generated by an idempotent. This condition is equivalent to the statement that S is an inverse semigroup with zero, whose idempotents are dually well-ordered.

Mathematical Subject Classification
Primary: 20.93
Milestones
Received: 31 May 1968
Published: 1 November 1969
Authors
Edmund H. Feller
Richard Laham Gantos