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On right unipotent
semigroups
P. S. Venkatesan |
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Vol. 63 (1976), No. 2, 555–561
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Abstract |
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We investigate the implications of certain conditions on right unipotent semigroups. We describe the greatest idempotent-separating congruence β on a right unipotent semigroup S. Necessary and sufficient conditions for (i) S to be a union of groups, (ii) S to be an inverse semigroup, (iii) the idempotents of S to be in the centre of S and (iv) the quotient semigroup S∕β to be isomorphic with the subsemigroup of idempotents of S are also obtained. |
Mathematical Subject Classification 2000
Primary: 20M10
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Milestones
Received: 3 May 1973
Revised: 20 November 1975
Published: 1 April 1976
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Authors |
| P. S. Venkatesan | |
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