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A new proof that regular biordered sets come from regular semigroups

Published online by Cambridge University Press:  14 November 2011

David Easdown
David Easdown
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria 3168, Australia
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Synopsis

A new proof is given that all regular biordered sets come from regular semigroups.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 96 , Issue 1-2 , 1984 , pp. 109 - 116
Copyright
Copyright © Royal Society of Edinburgh 1984

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References

1Clifford, A. H. and Preston, G. B.. The algebraic theory of semigroups, Vol. I (Amer. Math. Soc. Math. Surveys 7) (Providence, R. I., 1961).Google Scholar
2Easdown, D.. Biordered sets are biordered subsets of idempotents of semigroups. J. Austral. Math. Soc. to appear.Google Scholar
3Easdown, D. and Hall, T. E.. Reconstructing some idempotent-generated semigroups from their biordered sets. Semigroup Forum, to appear.Google Scholar
4Nambooripad, K. S. S.. Structure of regular semigroups. I. Mem. Amer. Math. Soc. 22 (1979), no. 224.Google Scholar