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Completely injective semigroups with central idempotents

Published online by Cambridge University Press:  18 May 2009

E. H. Feller  and
R. L. Gantos
E. H. Feller
Affiliation:
University of Wisconsin, Milwaukeb
R. L. Gantos
Affiliation:
University of Wisconsin, Milwaukeb
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A right [left] unitary S-system is a set M with right [left] operators in a semigroup S with 1, where x1 = x [1x = x] for all x ∈ M. We define a semigroup S with 1 to be completely right [left] injective provided that every right [left] unitary S-system is injective. The main purpose of this paper is to determine a structure for completely right [left] injective semigroups whose idempotents are in the centre.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 10 , Issue 1 , January 1969 , pp. 16 - 20
Copyright
Copyright © Glasgow Mathematical Journal Trust 1969

References

REFERENCES

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