Publicação
The rank of the endomorphism monoid of a uniform partition
| dc.contributor.author | Schneider, Csaba | |
| dc.contributor.author | Araújo, João | |
| dc.date.accessioned | 2011-12-19T11:03:01Z | |
| dc.date.available | 2011-12-19T11:03:01Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | The rank of a semigroup is the cardinality of a smallest generating set. In this paper we compute the rank of the endomorphism monoid of a non-trivial uniform partition of a finite set, that is, the semigroup of those transformations of a finite set that leave a non-trivial uniform partition invariant. That involves proving that the rank of a wreath product of two symmetric groups is two and then use the fact that the endomorphism monoid of a partition is isomorphic to a wreath product of two full transformation semigroups. The calculation of the rank of these semigroups solves an open question. | por |
| dc.identifier.citation | Schneider, Csaba; Araújo, João - The rank of the endomorphism monoid of a uniform partition. " Semigroup Forum" [Em linha]. ISSN 0037-1912 (Print) 1432-2137 (Online). Vol. 78, nº 3 (June 2009), p. 498-510 | por |
| dc.identifier.issn | 0037-1912 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/1999 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Springer Verlag | por |
| dc.relation.publisherversion | http://www.springerlink.com/content/y57647lx54645l42/ | por |
| dc.relation.publisherversion | DOI: 10.1007/s00233-008-9122-0 | |
| dc.subject | Transformation semigroups | por |
| dc.subject | Wreath product | por |
| dc.subject | Symmetric groups | por |
| dc.subject | Rank | por |
| dc.subject | Relative rank | por |
| dc.title | The rank of the endomorphism monoid of a uniform partition | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 510 | por |
| oaire.citation.startPage | 498 | por |
| oaire.citation.title | Semigroup Forum | por |
| person.familyName | Ribeiro Soares Gonçalves de Araújo | |
| person.givenName | João Jorge | |
| person.identifier.ciencia-id | EC1F-273A-9F24 | |
| person.identifier.orcid | 0000-0001-6655-2172 | |
| rcaap.rights | restrictedAccess | por |
| rcaap.type | article | por |
| relation.isAuthorOfPublication | 1f7b349c-3251-480d-a3ac-e3cb4ef44f22 | |
| relation.isAuthorOfPublication.latestForDiscovery | 1f7b349c-3251-480d-a3ac-e3cb4ef44f22 |