An elementary based sufficient condition for sums of 2mth powers of polynomials over non-archimedean real closed fields

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dc.contributor.authorBradley Delso, Margarita
dc.date.accessioned2023-06-20T16:49:46Z
dc.date.available2023-06-20T16:49:46Z
dc.date.issued1990-04-10
dc.description.abstractUsing some model-theoretic arguments applied to the theory of real valuations, we obtain a sufficient condition based on elementary properties of , K any real closed field, for ƒ to be sum of 2mth powers of rational functions in K(x).
dc.description.departmentSección Deptal. de Sistemas Informáticos y Computación
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/14813
dc.identifier.doi10.1016/0022-4049(90)90067-R
dc.identifier.issn0022-4049
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/002240499090067R
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57160
dc.issue.number3
dc.journal.titleJournal of Pure and Applied Algebra
dc.page.final224
dc.page.initial219
dc.publisherElsevier Science B.V. (North-Holland)
dc.rights.accessRightsmetadata only access
dc.subject.cdu510.63
dc.subject.keywordpositive semidefinite polynomials
dc.subject.keywordsemialgebraic sets
dc.subject.keywordsum of 2m-th powers of rational functions
dc.subject.ucmLógica simbólica y matemática (Matemáticas)
dc.subject.unesco1102.14 Lógica Simbólica
dc.titleAn elementary based sufficient condition for sums of 2mth powers of polynomials over non-archimedean real closed fields
dc.typejournal article
dc.volume.number63
dspace.entity.typePublication
relation.isAuthorOfPublicationaab2395d-f8da-473c-8a69-a28614b98be3
relation.isAuthorOfPublication.latestForDiscoveryaab2395d-f8da-473c-8a69-a28614b98be3

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