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Kernels of orthodox semigroup homomorphisms

Published online by Cambridge University Press:  09 April 2009

Ruth Feigenbaum
Affiliation:
5 Northwestern Avenue, Butler, New Jersey 07405, U.S.A.
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Any congruence on an orthodox semigroup S induces a partition of the set E of idempotents of S satisfying certain normality conditions. Meakin (1970) has characterized those partitions of E which are induced by congruences on S as well as the largest congruence ρ and the smallest congruence σ on S corresponding to such a partition of E. In this paper a more precise description of ρ and σ is given.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1976

References

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