Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-15T09:05:19.207Z Has data issue: false hasContentIssue false
  • English
  • Français

The conjugate hull of an inverse semigroup

Published online by Cambridge University Press:  18 May 2009

Mario Petrich
Mario Petrich
Affiliation:
Univeristé de Montpellier, France
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.

There is a large body of literature on inverse semigroups. This literature contains a considerable amount of information concerning congruences on these semigroups, which is not surprising in view of the demonstrated fact that congruences on inverse semigroups play a decisive role in most of the existing structure theorems. In addition, for an inverse semigroup of known structure, finding its congruence lattice, or even certain properties of this lattice, often gives information about these semigroups not apparent in their structure theorems.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 21 , Issue 2 , July 1980 , pp. 103 - 124
Copyright
Copyright © Glasgow Mathematical Journal Trust 1980

References

REFERENCES

1.Ault, J. E., The translational hull of an inverse semigroup, Glasgow Math. J. 14 (1973), 56–64.CrossRefGoogle Scholar
2.Clifford, A. H., Semigroups admitting relative inverses, Ann. of Math. 42 (1941), 1037–1049.CrossRefGoogle Scholar
3.Clifford, A. H. and Preston, G. B., The algebraic theory of semigroups, Vol. I, Math. Surveys No. 7, Amer. Math. Soc. (Providence, R.I., 1961).Google Scholar
4.Munn, W. D., Fundamental inverse semigroups, Quart. J. Math. Oxford Ser. 2 21 (1970), 157–170.CrossRefGoogle Scholar
5.Petrich, M., Introduction to semigroups (Merrill, Columbus, 1973).Google Scholar
6.Petrich, M., Extensions normales de demi-groupes inverses, Fund. Math, (to appear).Google Scholar
7.Ponizovskñ, I. S., A remark on inverse semigroups, Uspehi Mat. Nauk. 20 (1965), 147–148 (Russian).Google Scholar
8.Reilly, N. R., The translational hull of an inverse semigroup, Canad. J. Math. 26 (1974), 1050–1068.CrossRefGoogle Scholar
9.Širjajev, V. M., On a class of inverse semigroups, Vestnik Beloruss. Gos. Univ. Ser. I 2 (1970), 10–13 (Russian).Google Scholar