Vol. 63, No. 2, 1976

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ISSN: 0030-8730
On right unipotent semigroups

P. S. Venkatesan

Vol. 63 (1976), No. 2, 555–561
Abstract

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
Milestones
Received: 3 May 1973
Revised: 20 November 1975
Published: 1 April 1976
Authors
P. S. Venkatesan