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A note on bilateral semidirect product decompositions of some monoids of order-preserving partial permutations

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dc.contributor.authorFernandes, Vítor Hugo
dc.contributor.authorQuinteiro, Teresa
dc.date.accessioned2019-03-12T12:02:30Z
dc.date.available2019-03-12T12:02:30Z
dc.date.issued2016
dc.description.abstractIn this note we consider the monoid PODIn of all monotone partial permutations on {1,....,n} and its submonoids DPn, POIn and ODPn of all partial isometries, of all order-preserving partial permutations and of all order-preserving partial isometries, respectively. We prove that both the monoids POIn and ODPn are quotients of bilateral semidirect products of two of their remarkable submonoids, namely of extensive and of co-extensive transformations. Moreover, we show that PODIn is a quotient of a semidirect product of POIn and the group C-2 of order two and, analogously, DPn is a quotient of a semidirect product of ODPn and C-2.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationFERNANDES, Vítor Hugo; QUINTEIRO, Teresa M. – A note on bilateral semidirect product decompositions of some monoids of order-preserving partial permutations. Bulletin of the Korean Mathematical Society. ISSN 1015-8634. Vol. 53, N.º 2 (2016), pp. 495-506pt_PT
dc.identifier.doi10.4134/BKMS.2016.53.2.495pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.21/9710
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherKorean Mathematical Societypt_PT
dc.subjectTransformationspt_PT
dc.subjectPartial isometriespt_PT
dc.subjectOrder-preservingpt_PT
dc.subjectSemidirect productspt_PT
dc.subjectPseudovarietiespt_PT
dc.titleA note on bilateral semidirect product decompositions of some monoids of order-preserving partial permutationspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage506pt_PT
oaire.citation.issue2pt_PT
oaire.citation.startPage495pt_PT
oaire.citation.titleBulletin of the Korean Mathematical Societypt_PT
oaire.citation.volume53pt_PT
person.familyNameFernandes
person.familyNameQuinteiro
person.givenNameVítor Hugo
person.givenNameTeresa
person.identifier.ciencia-idDD19-BDAC-26D5
person.identifier.ciencia-id0C12-A64C-C46A
person.identifier.orcid0000-0003-1057-4975
person.identifier.orcid0000-0001-5172-7697
person.identifier.ridM-9549-2013
person.identifier.scopus-author-id7006546339
person.identifier.scopus-author-id36768917700
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationd70f0c07-de08-4869-beb5-39f594f27803
relation.isAuthorOfPublication60b37eff-4ffa-4363-9238-bdebab1a9b78
relation.isAuthorOfPublication.latestForDiscoveryd70f0c07-de08-4869-beb5-39f594f27803

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