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Note on the Preceding Paper

Published online by Cambridge University Press:  24 October 2008

D. C. J. Burgess
D. C. J. Burgess
Affiliation:
Queen's University, Belfast
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Extract

It is worth remarking that if e, f are two primitive idempotents in a semigroup S which commute, then: (i) if S has a zero 0, either e = f or ef = 0; (ii) if S has no zero, e = f. Clearly the product ef is under each of the primitive idempotents e and f.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 2 , April 1961 , pp. 237 - 238
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

* References are as in the preceding paper.