Publicação
Congruences on semigroups generated by injective nilpotent transformations
| Resumo: | 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 axbitrary X. In this paper, we use that work to describe all the congruences on NI(X). |
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| Autores principais: | Smith, M. Paula Marques |
| Outros Autores: | Sullivan, R. P. |
| Assunto: | Congruences Injective transformations Nilpotent-generated semigroups |
| Ano: | 2006 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | 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 axbitrary X. In this paper, we use that work to describe all the congruences on NI(X). |
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