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On the monoids of transformations that preserve the order and a uniform partition

dc.contributor.authorFernandes, Vítor H.
dc.contributor.authorQuinteiro, Teresa
dc.date.accessioned2013-02-16T16:36:46Z
dc.date.available2013-02-16T16:36:46Z
dc.date.issued2011
dc.description.abstractIn this article we consider the monoid O(mxn) of all order-preserving full transformations on a chain with mn elements that preserve a uniformm-partition and its submonoids O(mxn)(+) and O(mxn)(-) of all extensive transformations and of all co-extensive transformations, respectively. We determine their ranks and construct a bilateral semidirect product decomposition of O(mxn) in terms of O(mxn)(-) and O(mxn)(+).por
dc.identifier.citationFERNANDES, Vítor H.; QUINTEIRO, Teresa M. - On the monoids of transformations that preserve the order and a uniform partition. Communications in Algebra. ISSN 0092-7872. Vol. 39, n.º8 (2011) p. 2798-2815.por
dc.identifier.issn0092-7872
dc.identifier.urihttp://hdl.handle.net/10400.21/2223
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherTaylor & Francis INCpor
dc.subjectEquivalence-Preserving Transformationspor
dc.subjectOrder-Preserving Transformationspor
dc.subjectSemidirect Productspor
dc.subjectSemigroupspor
dc.subjectMappingspor
dc.subjectEndomorphimspor
dc.titleOn the monoids of transformations that preserve the order and a uniform partitionpor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlacePhiladelphiapor
oaire.citation.endPage2815por
oaire.citation.issue8por
oaire.citation.startPage2798por
oaire.citation.titleCommunications in Algebrapor
oaire.citation.volume39por
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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