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Abelian semigroups whose Stone-Čech compactifications have left ideal decompositions

Published online by Cambridge University Press:  24 October 2008

D. J. Parsons
D. J. Parsons
Affiliation:
University of Sheffield†
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Extract

Stone-Čech compactifications of semigroups have aroused a good deal of interest recently. Several authors, for example Milnes [6], Marcri [5] and Baker and Butcher [1], have concentrated on problems of the existence of continuous extensions to βS of the operation in a topological semigroup S. For a discrete semigroup a separately continuous extension always exists, and others such as Pym and Vasudeva[8] have studied the compactifications of particular classes of semigroups. Further interest has centred on the algebraic structure of these compactifications; see for example Hindman[3].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 3 , May 1985 , pp. 473 - 479
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

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