Publication
Congruences on nilpotent-generated partial transformation semigroups
| Summary: | 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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| Main Authors: | Smith, M. Paula Marques |
| Other Authors: | Sullivan, R. P. |
| Subject: | Congruences Nilpotent-generated semigroups Partial transformations |
| Year: | 2009 |
| Country: | Portugal |
| Document type: | article |
| Access type: | open access |
| Associated institution: | Universidade do Minho |
| Language: | English |
| Origin: | RepositóriUM - Universidade do Minho |
| Summary: | 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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