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Congruences on semigroups generated by injective nilpotent transformations
Published online by Cambridge University Press: 17 April 2009
Extract
In 1987, Sullivan characterised the elements of the semigroup NI(X) generated by the nilpotents in I(X), the symmetric inverse semigroup on an infinite set X; and, in the same year, Gomes and Howie did the same for finite X. In 1999, Marques-Smith and Sullivan determined all the ideals of NI(X) for arbitrary X. In this paper, we use that work to describe all the congruences on NI(X).
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 74 , Issue 3 , December 2006 , pp. 393 - 409
- Copyright
- Copyright © Australian Mathematical Society 2006
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