Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-12-02T21:24:51.163Z Has data issue: false hasContentIssue false

Semigroups satisfying minimal conditions II

Published online by Cambridge University Press:  18 May 2009

T. E. Hall
Affiliation:
Mathematics Department, Monash University, Clayton, Australia 3168
W. D. Munn
Affiliation:
Department of Mathematics, University of Glasgow
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper we continue the investigation of minimal conditions on semigroups begun by J. A. Green [3] and taken up by Munn [5]. A unified account of the results in [3] and [5], together with some additional material, is presented in the text-book by Clifford and Preston [1, §6.6]. All terminology and notation not introduced explicitly willbe as in [1].

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1979

References

REFERENCES

1.Clifford, A. H. and Preston, G. B., The algebraic theory of semigroups, Surveys of the Amer. Math. Soc. 7 (Providence, R.I., 1961 (vol. I) and 1967 (vol. II)).Google Scholar
2.Drazin, M. P., Pseudo-inverses in associative rings and semigroups, Amer. Math. Monthly 65 (1958), 506514.Google Scholar
3.Green, J. A., On the structure of semigroups, Ann. of Math. (2) 54 (1951), 163172.CrossRefGoogle Scholar
4.Hall, T. E., On the natural ordering of ℐ-classes and of idempotents in a regular semigroup, Glasgow Math. J. 11 (1970), 167168.Google Scholar
5.Munn, W. D., Semigroups satisfying minimal conditions, Proc. Glasgow Math. Assoc. 3 (1957), 145152.CrossRefGoogle Scholar
6.Munn, W. D., Pseudo-inverses in semigroups, Proc. Cambridge Philos. Soc. 57 (1961), 247250.CrossRefGoogle Scholar
7.Rhodes, J., Some results on finite semigroups, J. Algebra 4 (1966), 471504.CrossRefGoogle Scholar