Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-24T08:55:05.390Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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