Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/21065

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dc.contributor.authorGonçalves, Suzana Mendes-
dc.contributor.authorSullivan, R. P.-
dc.date.accessioned2012-11-29T14:36:06Z-
dc.date.available2012-11-29T14:36:06Z-
dc.date.issued2012-01-17-
dc.identifier.issn0092-7872por
dc.identifier.urihttp://hdl.handle.net/1822/21065-
dc.description.abstractLet V be an infinite-dimensional vector space and let n be a cardinal such that aleph_0<=n<=dim V, and let AM(V,n) denote the semigroup consisting of all linear transformations of V whose nullity is less than n. In recent work, Mendes-Gonçalves and Sullivan studied the ideal structure of AM(V,n). Here, we do the same for a similarly-defined semigroup AM(X,q) of transformations defined on an infinite set X. Although our results are clearly comparable with those already obtained for AM(V,n), we show that the two semigroups are never isomorphic.por
dc.description.sponsorshipFundação para a Ciência e a Tecnologia (FCT)por
dc.language.isoengpor
dc.publisherTaylor & Francispor
dc.rightsrestrictedAccesspor
dc.subjectAlmost one-to-one transformationspor
dc.subjectGreen's relationspor
dc.subjectIdealspor
dc.titleAlmost injective transformations of an infinite setpor
dc.typearticlepor
dc.peerreviewedyespor
dc.relation.publisherversionhttp://www.tandfonline.com/toc/lagb20/40/1por
sdum.publicationstatuspublishedpor
oaire.citationStartPage192por
oaire.citationEndPage205por
oaire.citationIssue1por
oaire.citationTitleCommunications in Algebrapor
oaire.citationVolume40por
dc.identifier.doi10.1080/00927872.2010.527880por
dc.subject.wosScience & Technologypor
sdum.journalCommunications in Algebrapor
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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