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On the natural ordering of -classes and of idempotents in a regular semigroup

Published online by Cambridge University Press:  18 May 2009

T. E. Hall
T. E. Hall
Affiliation:
Monash University, Clayton, Victoria, Australia, 3168
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In this paper we prove the following:

Let S be a regular semigroup anda, bany elements of S such that Jb = ≦ Ja. Then, for each idempotent e∈Ja, there exists an idempotent f∈ Jb such that f = ≦e.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 11 , Issue 2 , July 1970 , pp. 167 - 168
Copyright
Copyright © Glasgow Mathematical Journal Trust 1970

References

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