Publication
Centralizers in the full transformation semigroup
| dc.contributor.author | Araújo, João | |
| dc.contributor.author | Konieczny, Janusz | |
| dc.date.accessioned | 2015-03-23T14:28:35Z | |
| dc.date.available | 2015-03-23T14:28:35Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | For an arbitrary set X (finite or infinite), denote by T (X) the semigroup of full transformations on X. For α ∈ T (X), let C(α) = {β ∈ T (X) : αβ = βα} be the centralizer of α in T (X). The aim of this paper is to characterize the elements of C(α). The characterization is obtained by decomposing α as a join of connected partial transformations on X and analyzing the homomorphisms of the directed graphs representing the connected transformations. The paper closes with a number of open problems and suggestions of future investigations. | por |
| dc.identifier.citation | Araújo, João; Konieczny, Janusz - Centralizers in the full transformation semigroup. "Semigroup Forum" [Em linha]. ISSN 0037-1912 (Print) 1432-2137 (Online). Vol. 86, nº 1 (2013), p. 1-32 | por |
| dc.identifier.doi | 10.1007/s00233-012-9424-0 | |
| dc.identifier.issn | 0037-1912 | |
| dc.identifier.issn | 1432-2137 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/3795 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.subject | Full transformations | por |
| dc.subject | Centralizers | por |
| dc.subject | Digraph homomorphisms | por |
| dc.title | Centralizers in the full transformation semigroup | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 32 | por |
| oaire.citation.startPage | 1 | 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 | openAccess | por |
| rcaap.type | article | por |
| relation.isAuthorOfPublication | 1f7b349c-3251-480d-a3ac-e3cb4ef44f22 | |
| relation.isAuthorOfPublication.latestForDiscovery | 1f7b349c-3251-480d-a3ac-e3cb4ef44f22 |