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On Lojasiewicz's inequality and the Nullstellensatz for rings of semialgebraic functions

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dc.contributor.authorFernando Galván, José Francisco
dc.contributor.authorGamboa Mutuberria, José Manuel
dc.date.accessioned2023-06-19T13:23:13Z
dc.date.available2023-06-19T13:23:13Z
dc.date.issued2014-02-01
dc.description.abstractIn this article we present versions of Lojasiewicz's inequality and the Nullstellensatz for the ring of bounded semialgebraic functions on an arbitrary semialgebraic set M. We also prove that the classical Lojasiewicz inequality and Nullstellensatz for the ring of semialgebraic functions on a semialgebraic set M work if and only if M is locally compact.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipSpanish GR
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/24697
dc.identifier.doi10.1016/j.jalgebra.2013.09.048
dc.identifier.issn0021-8693
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0021869313005991
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.relatedurlhttp://www.mat.ucm.es/~josefer/pdfs/preprint/null-loj.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/33473
dc.journal.titleJournal of algebra
dc.language.isoeng
dc.page.final488
dc.page.initial475
dc.publisherElsevier
dc.relation.projectIDMTM2011-22435
dc.rights.accessRightsopen access
dc.subject.cdu512
dc.subject.keywordSemialgebraic set
dc.subject.keywordSemialgebraic function
dc.subject.keywordLojasiewicz's inequality
dc.subject.keywordNullstellensatze
dc.subject.keywordLocally compact semialgebraic set
dc.subject.keywordz-ideal
dc.subject.keywordz*-ideal
dc.subject.keywordRadical ideal
dc.subject.keywordPrime ideal
dc.subject.keywordMaximal ideal
dc.subject.keywordFixed ideal
dc.subject.keywordFree ideal
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleOn Lojasiewicz's inequality and the Nullstellensatz for rings of semialgebraic functions
dc.typejournal article
dc.volume.number399
dspace.entity.typePublication
relation.isAuthorOfPublication499732d5-c130-4ea6-8541-c4ec934da408
relation.isAuthorOfPublication8fcb811a-8d76-49a2-af34-85951d7f3fa5
relation.isAuthorOfPublication.latestForDiscovery499732d5-c130-4ea6-8541-c4ec934da408

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