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On right unipotent semigroups II

Published online by Cambridge University Press:  18 May 2009

P. S. Venkatesan
P. S. Venkatesan
Affiliation:
University of Ibadan, Ibadan, Nigeria
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We describe two congruences α and γ contained in ℒ on an arbitrary orthodox semigroup. Let S be a right unipotent semigroup. We show that (i) α is an inverse semigroup congruence and γ is the finest fundamental inverse semigroup congruence on S, (ii) S is a union of groups if and only if ℒ on S and (iii) S is a band of groups if and only if ℒ on S.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 19 , Issue 1 , January 1978 , pp. 63 - 68
Copyright
Copyright © Glasgow Mathematical Journal Trust 1978

References

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