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Group congruences on eventually regular semigroups

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

S. Hanumantha Rao  and
P. Lakshmi
S. Hanumantha Rao
Affiliation:
Department of Mathematics, A. M. A. L. College, Anakapalle A. P. 531001, India
P. Lakshmi
Affiliation:
Department of Mathematics, A. M. A. L. College, Anakapalle A. P. 531001, India
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Abstract

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A characterization of group congruences on an eventually regular semigroup S is provided. It is shown that a group congruence is dually right modular in the lattice of congruences on S. Also for any group congruence ℸ and any congruence p on S, ℸ Vp and kernel ℸ Vp are described.

MSC classification

Secondary: 20M10: General structure theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 45 , Issue 3 , December 1988 , pp. 320 - 325
Copyright
Copyright © Australian Mathematical Society 1988

References

[1]LaTorre, D. R., Group congruences on regular semigroups, Semigroup Forum 24 (1982), 327–340.CrossRefGoogle Scholar
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[3]Jones, Peter R., Joins and meets of congruences on a regular semigroup, Semigroup Forum 30 (1984), 1–16.CrossRefGoogle Scholar
[4]Feigenbaum, R., Kernels of regular semigroup homomorphisms (Doctoral dissertation, University of South Carolina, 1975).Google Scholar