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Height bounds, nullstellensatz and primality

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dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultymemberNo
dc.contributor.kuauthorGöral, Haydar
dc.contributor.schoolcollegeinstituteDepartment of Mathematics
dc.date.accessioned2024-11-09T23:19:41Z
dc.date.issued2018
dc.description.abstractIn this study, we find height bounds in the polynomial ring over the field of algebraic numbers to test the primality of an ideal. We also obtain height bounds in the arithmetic Nullstellensatz. We apply nonstandard analysis and hence our constants will be ineffective.
dc.description.fulltextNo
dc.description.harvestedfromManual
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.openaccessYES
dc.description.peerreviewstatusPeer-Reviewed
dc.description.publisherscopeInternational
dc.description.readpublishN/A
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipValCoMo [ANR-13-BS01-0006]
dc.description.sponsorshipMALOA [PITN-GA-2009-238381] This work is partially supported by ValCoMo (ANR-13-BS01-0006) and MALOA (PITN-GA-2009-238381).
dc.description.studentonlypublicationYes
dc.description.studentpublicationYes
dc.description.versionN/A
dc.identifier.WoSQuartileQ4
dc.identifier.doi10.1080/00927872.2018.1448835
dc.identifier.eissn1532-4125
dc.identifier.embargoN/A
dc.identifier.endpage4472
dc.identifier.issn0092-7872
dc.identifier.issue10
dc.identifier.scopus2-s2.0-85052201291
dc.identifier.startpage4463
dc.identifier.urihttps://doi.org/10.1080/00927872.2018.1448835
dc.identifier.urihttps://hdl.handle.net/20.500.14288/10571
dc.identifier.volume46
dc.identifier.wos000442620000023
dc.keywordsHeight
dc.keywordsmodel theory
dc.keywordsNonstandard analysis
dc.keywordsPrimality
dc.language.isoeng
dc.publisherTaylor and Francis
dc.relation.affiliationKoç University
dc.relation.collectionKoç University Institutional Repository
dc.relation.ispartofCommunications in Algebra
dc.relation.openaccessN/A
dc.rightsN/A
dc.subjectMathematics
dc.titleHeight bounds, nullstellensatz and primality
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorGöral, Haydar
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relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
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relation.isParentOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe

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