Publicação
Congruences on nilpotent-generated partial transformation semigroups
| Resumo: | In 1987, Sullivan characterised the elements of the semigroup NP(X ) generated by the nilpotents in P(X ), the semigroup (under composition) consisting of all partial transformations of a set X . In 1999, Marques-Smith and Sullivan determined all the ideals of NP(X ) for arbitrary X . In this paper, we use that work to describe all the congruences on NP(X ). |
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| Autores principais: | Smith, M. Paula Marques |
| Outros Autores: | Sullivan, R. P. |
| Assunto: | Congruences Nilpotent-generated semigroups Partial transformations |
| Ano: | 2009 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | In 1987, Sullivan characterised the elements of the semigroup NP(X ) generated by the nilpotents in P(X ), the semigroup (under composition) consisting of all partial transformations of a set X . In 1999, Marques-Smith and Sullivan determined all the ideals of NP(X ) for arbitrary X . In this paper, we use that work to describe all the congruences on NP(X ). |
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