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The Least Commutative Congruence on a simple regular ω-semigroup†

Published online by Cambridge University Press:  18 May 2009

C. Bonzini ,
A. Cherubini  and
B. Piochi
C. Bonzini
Affiliation:
Dipartimento di Matematica, Universitá, Via Saldini, 50 20133 Milano.
A. Cherubini
Affiliation:
Dipartimento di Matematica, Universitá, Via del Capitano, 15 53100 Siena.
B. Piochi
Affiliation:
Dipartimento di Matematica, Politecnico, Piazza L. da Vinci, 32 20133 Milano.
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Piochi in [10] gives a description of the least commutative congruence γ of an inverse semigroup in terms of congruence pairs and generalizes to inverse semigroups the notion of solvability. The object of this paper is to give an explicit construction of λ for simple regular ω-semigroups exploiting the work of Baird on congruences on such semigroups. Moreover the connection between the solvability classes of simple regular ω-semigroups and those of their subgroups is studied.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 32 , Issue 1 , January 1990 , pp. 13 - 23
Copyright
Copyright © Glasgow Mathematical Journal Trust 1990

References

REFERENCES

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