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http://hdl.handle.net/10229/107094
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| Title: | Congruences on semigroups generated by injective nilpotent transformations |
| Authors: | Smith, M. Paula Marques
Sullivan, R. P. |
| Keywords: | Congruences
Injective transformations
Nilpotent-generated semigroups |
| Issue Date: | 9-May-2008 |
| Publisher: | Australian Mathematical Society |
| Description: | 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).
Fundação para a Ciência e a Tecnologia (FCT) - POCTI.
Centro de Matematica da Universidade
do Minho.
University of Western Australia. |
| URI: | http://hdl.handle.net/1822/7453
http://hdl.handle.net/10229/107094 |
| Other Identifiers: | "Bulletin of the Australian Mathematical Society". ISSN 0004-9727. 74:3 (2006) 393-409.
0004-9727 |
| Appears in Collections: | RepositóriUM
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