Publication
Semigroups of transformations preserving an equivalence relation and a cross-section
| dc.contributor.author | Araújo, João | |
| dc.contributor.author | Konieczny, Janusz | |
| dc.date.accessioned | 2015-03-24T10:16:57Z | |
| dc.date.available | 2015-03-24T10:16:57Z | |
| dc.date.issued | 2004 | |
| dc.description.abstract | For a set X, an equivalence relation ρ on X, and a cross-section R of the partition X/ρ induced by ρ, consider the semigroup T (X, ρ,R) consisting of all mappings a from X to X such that a preserves both ρ (if (x, y) ∈ ρ then (xa, ya) ∈ ρ) and R (if r ∈ R then ra ∈ R). The semigroup T (X, ρ,R) is the centralizer of the idempotent transformation with kernel ρ and image R. We determine the structure of T (X, ρ,R) in terms of Green’s relations, describe the regular elements of T (X, ρ,R), and determine the following classes of the semigroups T (X, ρ,R): regular, abundant, inverse, and completely regular. | por |
| dc.identifier.citation | Araújo, João; Konieczny, Janusz - Semigroups of transformations preserving an equivalence relation and a cross-section. "Communications in Algebra" [Em linha]. ISSN 0092-7872 (Print) 1532-4125 (Online). Vol. 32 (2004), p. 1-17 | por |
| dc.identifier.doi | 10.1081/AGB-120029913 | |
| dc.identifier.issn | 0092-7872 | |
| dc.identifier.issn | 1532-4125 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/3806 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.subject | Transformation | por |
| dc.subject | Equivalence relation | por |
| dc.subject | Idempotent | por |
| dc.subject | Centralizer | por |
| dc.subject | 20M20 | por |
| dc.title | Semigroups of transformations preserving an equivalence relation and a cross-section | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 17 | por |
| oaire.citation.startPage | 1 | por |
| oaire.citation.title | Communications in Algebra | 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 |