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Bilateral semidirect product decompositions of transformation monoids

2011-04Artigo científico Acesso aberto
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dc.contributor.authorFernandes, Vítor H.
dc.contributor.authorQuinteiro, Teresa
dc.date.accessioned2013-01-30T18:42:00Z
dc.date.available2013-01-30T18:42:00Z
dc.date.issued2011-04
dc.description.abstractIn this paper we consider the monoid OR(n) of all full transformations on a chain with n elements that preserve or reverse the orientation, as well as its submonoids OD(n) of all order-preserving or order-reversing elements, OP(n) of all orientation-preserving elements and O(n) of all order-preserving elements. By making use of some well known presentations, we show that each of these four monoids is a quotient of a bilateral semidirectproduct of two of its remarkable submonoids.por
dc.identifier.citationFERNANDES, Vítor H.; QUINTEIRO, Teresa M. - Bilateral semidirect product decompositions of transformation monoids. Semigroup Forum. ISSN 0037-1912. Vol. 82, n.º 2 (2011) p. 271-287.por
dc.identifier.issn0037-1912
dc.identifier.urihttp://hdl.handle.net/10400.21/2108
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherSpringerpor
dc.subjectBilateral Semidirect Productspor
dc.subjectTransformation Semigroupspor
dc.subjectFree Monoidspor
dc.subjectPresentationspor
dc.subjectPreserving Mappingspor
dc.subjectSemigroupspor
dc.subjectPresentationspor
dc.subjectEndomorphismpor
dc.subjectChainpor
dc.titleBilateral semidirect product decompositions of transformation monoidspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlaceNew Yorkpor
oaire.citation.endPage287por
oaire.citation.issue2por
oaire.citation.startPage271por
oaire.citation.titleSemigroup Forumpor
oaire.citation.volume82por
person.familyNameQuinteiro
person.givenNameTeresa
person.identifier.ciencia-id0C12-A64C-C46A
person.identifier.orcid0000-0001-5172-7697
person.identifier.scopus-author-id36768917700
rcaap.rightsrestrictedAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication60b37eff-4ffa-4363-9238-bdebab1a9b78
relation.isAuthorOfPublication.latestForDiscovery60b37eff-4ffa-4363-9238-bdebab1a9b78

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