Publication
A method of finding automorphism groups of endomorphism monoids of relational systems
| dc.contributor.author | Araújo, João | |
| dc.contributor.author | Konieczny, Janusz | |
| dc.date.accessioned | 2011-12-13T12:04:29Z | |
| dc.date.available | 2011-12-13T12:04:29Z | |
| dc.date.issued | 2007-06 | |
| dc.description.abstract | For any set X and any relation \rho on X, let T(X,\rho) be the semigroup of all maps a : X → X that preserve \rho. Let S(X) be the symmetric group on X. If \rho is reflexive, the group of automorphisms of T (X, \rho) is isomorphic to N_{S(X)}(T (X, \rho)), the normalizer of T (X, \rho) in S(X), that is, the group of permutations on X that preserve T (X, \rho) under conjugation. The elements of N_{S(X)}(T (X, \rho)) have been described for the class of so-called dense relations \rho. The paper is dedicated to applications of this result. © 2006 Elsevier B.V. All rights reserved. | por |
| dc.identifier.citation | Araújo, João; Konieczny, Janusz - A method of finding automorphism groups of endomorphism monoids of relational systems. "Discrete Mathematics" [Em linha]. ISSN 0012-365X. Vol. 307, nº 13 (June 2007), p. 1609-1620 | por |
| dc.identifier.issn | 0012-365X | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/1991 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Elsevier | por |
| dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0012365X06006789 | por |
| dc.relation.publisherversion | Doi:10.1016/j.disc.2006.09.029 | |
| dc.subject | Automorphism group | por |
| dc.subject | Endomorphism | por |
| dc.subject | Transformation semigroup | por |
| dc.subject | Reflexive relation | por |
| dc.title | A method of finding automorphism groups of endomorphism monoids of relational systems | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 1620 | por |
| oaire.citation.startPage | 1609 | por |
| oaire.citation.title | Discrete Mathematics | 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 |