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On Rhodes expansions of bands

Published online by Cambridge University Press:  20 January 2009

H. Sezinando
H. Sezinando
Affiliation:
Centro De Álgebra, Universidade De Lisboa Av. Prof. Gama Pinto, 2, 1699 Lisboa Codex Portugal E-mail address: [email protected]
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Abstract

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We present a direct computation of the Rhodes expansions of the free objects in the varieties of bands, based in the manipulation of the invariants in introduced by Gerhard and Petrich [4] in the study of bands.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 3 , October 1996 , pp. 409 - 423
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

REFERENCES

1. Birget, J. -C. and Rhodes, J., Iterations of expansions – unambiguous semigroups, J. Pure Appl. Algebra 34 (1984), 1–55.CrossRefGoogle Scholar
2. Eilenberg, S., Automata, languages and machines, Vol. B Academic Press, New York, 1976.Google Scholar
3. Fennemore, C., All varieties of bands, Semigroup Forum 44 (1970), 172–179.CrossRefGoogle Scholar
4. Gerhard, J. A. and Petrich, M., Varieties of bands revisited, Proc. London Math. Soc (3) 58 (1989), 323–350.CrossRefGoogle Scholar
5. Polak, L., On varieties of completely regular semigroups I, Semigroup Forum 32 (1985), 97–123.CrossRefGoogle Scholar
6. Polak, L., On varieties of completely regular semigroups II, Semigroup Forum 36 (1987), 253–284.CrossRefGoogle Scholar
7. Polak, L., On varieties of completely regular semigroups III, Semigroup Forum 37 (1988), 1–30.CrossRefGoogle Scholar
8. Reilly, R., The Rhodes expansion and free objects in varieties of completely regular semigroups, J. Pure Appl. Algebra 69 (1990), 89–109.CrossRefGoogle Scholar
9. Sezinando, H., Formal languages and idempotent semigroups, Ph.D. thesis, University of St. Andrews, Scotland, 1990.Google Scholar
10. Sezinando, H., The cardinalities of the Green classes of the free objects in varieties of bands, Semigroup Forum 44 (1992), 164–198.CrossRefGoogle Scholar
11. Tilson, B., Chapters IX and XII in [2].Google Scholar