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Homomorphisms having a given H-class as a single class

Published online by Cambridge University Press:  09 April 2009

R. P. Hunter  and
L. W. Anderson
R. P. Hunter
Affiliation:
Mathematics Department Pennsylvania State UniversityUniversity Park 16802, U.S.A.
L. W. Anderson
Affiliation:
Mathematics Department Pennsylvania State UniversityUniversity Park 16802, U.S.A.
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In [1] it was shown if S is a stable semigroup and H an ℋ-class of S then there is a congruence (H) on S in which H is a single class. After considering some consequences of this result for abstract semigroups, we consider some analogous questions for compact semigroups.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 15 , Issue 1 , February 1973 , pp. 7 - 14
Copyright
Copyright © Australian Mathematical Society 1973

References

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