Congruences on nilpotent-generated partial transformation semigroups
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,...
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| Format: | article |
| Language: | eng |
| Published: |
2009
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| Online Access: | http://hdl.handle.net/1822/14628 |
| Country: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/14628 |
| 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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