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Regular ω-semigroups

Published online by Cambridge University Press:  18 May 2009

W. D. Munn
W. D. Munn
Affiliation:
University of Glasgow and University of Stirling
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Let S be a semigroup whose set E of idempotents is non-empty. We define a partial ordering ≧ on E by the rule that e ≧ f and only if ef = f = fe. If E = {ei: i∈ N}, where N denotes the set of all non-negative integers, and if the elements of E form the chain

then S is called an ω-semigroup.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 9 , Issue 1 , January 1968 , pp. 46 - 66
Copyright
Copyright © Glasgow Mathematical Journal Trust 1968

References

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