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Comments on the preceding paper of Michael's

Published online by Cambridge University Press:  09 April 2009

Paul S. Mostert
Paul S. Mostert
Affiliation:
Tulane University, New Orleans, Louisiana
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It is possible, by a different approach leading to a structure theorem for the left ideal κ, to prove the main result of the preceding paper more simply and at the same time relaxing the conditions considerably. In particular we may drop the stipulation that σ be separable and metric and one of the conditions (A) or (B) and replace the other by one of the weaker conditions (A′) or (B′) below: .

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 4 , Issue 3 , August 1964 , pp. 287 - 288
Copyright
Copyright © Australian Mathematical Society 1964

References

[1]Clifford, A, and Preston, G. B., The Algebraic Theory of Semigroups, Vol. I, Math. Surveys 7, Amer. Math. Soc., Providence, 1961.Google Scholar
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[3]Rosen, W. G., On invariant means over compact semigroups, Proc. Amer. Math. Soc. 7 (1956), 1076–1082.CrossRefGoogle Scholar
[4]Wallace, A. D., The structure of topological semigroups, Bull. Amer. Math. Soc. 61 (1955), 95–112.CrossRefGoogle Scholar