Hostname: page-component-8448b6f56d-t5pn6 Total loading time: 0 Render date: 2024-04-19T02:46:47.832Z Has data issue: false hasContentIssue false

Coverings and embeddings of inverse semigroups

Published online by Cambridge University Press:  20 January 2009

Mark V. Lawson
Affiliation:
School of Mathematics, University College of North Wales, Dean Street, Bangor, Gwynedd, LL57 1UT, Cymru/Wales
Rights & Permissions [Opens in a new window]

Abstract

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.

A correspondence is established between a class of coverings of an inverse semigroup S and a class of embeddings of S, generalising results of McAlister and Reilly on E-unitary covers of inverse semigroups.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1993

References

REFERENCES

1.Ehresmann, C., Oeuvres completes et commentées (ed. Ehresmann, A. C., Suppl. Cahiers Topologie Géom. Différentielle, Amiens, 19801984).Google Scholar
2.Joubert, G., Contribution à l'etude des catégories ordonnées, Applications aux structures feuilletées, Cahiers Topologie Géom. Différentielle, VII (1966).Google Scholar
3.Lawson, M. V., The geometric theory of inverse semigroups I: E-unitary inverse semigroups, J. Pure Appl. Algebra 67 (1990), 151177.CrossRefGoogle Scholar
4.Lawson, M. V., A note on a paper of Joubert, Semigroup Forum, to appear.Google Scholar
5.Lawson, M. V., An equivalence theorem for inverse semigroups, Semigroup Forum, to appear.Google Scholar
6.Lawson, M. V., Congruences on ordered groupids, Semigroup Forum, to appear.Google Scholar
7.Lawson, M. V., The geometric theory of inverse semigroups II: E-unitary covers of inverse semigroups, J. Pure Appl. Algebra, 83 (1992), 121139.CrossRefGoogle Scholar
8.Leech, J., Inverse algebras, preprint.Google Scholar
9.McAlister, D. B. and Reilly, N. R., .E-unitary covers for inverse semigroups, Pacific J. Math. 68 (1977), 161174.CrossRefGoogle Scholar
10.Nambooripad, K. S. S. and Veeramony, R., Subdirect products of regular semigroups, Semigroup Forum 28 (1983), 265307.CrossRefGoogle Scholar
11.Niefield, S. B. and Rosenthal, K. I., Constructing locales from quantales, Math. Proc. Cambridge Philos. Soc. 104 (1988), 215234.CrossRefGoogle Scholar
12.Petrich, M., Inverse Semigroups (Wiley and Sons, New York, 1984).Google Scholar
13.Pin, J. E., Varieties of Formal Languages (North Oxford Academic, 1986).CrossRefGoogle Scholar
14.Schein, B. M., V. V. Vagner 1908–1981, Semigroup Forum 23 (1981), 189200.CrossRefGoogle Scholar
15.Schein, B. M., Embedding semigroups in inverse semigroups, Amer. Math. Soc. Transl. 139 (1988), 93116.Google Scholar