Hostname: page-component-7479d7b7d-rvbq7 Total loading time: 0 Render date: 2024-07-12T17:54:40.439Z Has data issue: false hasContentIssue false

E-solid regular semigroups and solid binary algebras

Published online by Cambridge University Press:  17 April 2009

Raymond E. Broeksteeg
Affiliation:
Mathematics DepartmentMonash UniversityClayton Vic 3168, Australia
Rights & Permissions [Opens in a new window]

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Abstracts of Australasian Ph.D. Theses
Copyright
Copyright © Australian Mathematical Society 1995

References

[1]Auinger, K., ‘On the lattice of existence varieties of locally inverse semigroups’, Canad. Math. Bull. 37 (1994), 1320.Google Scholar
[2]Broeksteeg, R., ‘The set of idempotents of a completely regular semigroup as a binary algebra’, Bull. Austral. Math. Soc. 50 (1994), 91107.CrossRefGoogle Scholar
[3]Broeksteeg, R., ‘The structure of solid binary algebras’, (preprint).Google Scholar
[4]Broeksteeg, R., ‘A concept of variety for regular biordered sets’, Semigroup Forum (to appear).Google Scholar
[5]Hall, T.E., ‘Identities for existence varieties of regular semigroups’, Bull. Austral. Math. Soc. 40 (1989), 5977.Google Scholar
[6]Howie, J.M., An introduction to semigroup theory, London Math. Soc. Monographs 7 (Academic Press, London, New York, 1976).Google Scholar
[7]Nambooripad, K.S.S., ‘Structure of regular semigroups I: Fundamental regular semigroups’, Semigroup Forum 9 (1975), 354363.Google Scholar
[8]Nambooripad, K.S.S., ‘Structure of regular semigroups I’, Mem. Amer. Math. Soc. 22 (1979).Google Scholar
[9]Nambooripad, K.S.S., ‘Pseudo-semilattices and biordered sets I’, Simon Stevin 55 (1981), 103110.Google Scholar