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Height bounds, nullstellensatz and primality

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dc.contributor.departmentGraduate School of Sciences and Engineering
dc.contributor.kuauthorGöral, Haydar
dc.contributor.schoolcollegeinstituteGRADUATE SCHOOL OF SCIENCES AND ENGINEERING
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.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue10
dc.description.openaccessYES
dc.description.publisherscopeInternational
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.volume46
dc.identifier.doi10.1080/00927872.2018.1448835
dc.identifier.eissn1532-4125
dc.identifier.issn0092-7872
dc.identifier.quartileQ4
dc.identifier.scopus2-s2.0-85052201291
dc.identifier.urihttps://doi.org/10.1080/00927872.2018.1448835
dc.identifier.urihttps://hdl.handle.net/20.500.14288/10571
dc.identifier.wos442620000023
dc.keywordsHeight
dc.keywordsmodel theory
dc.keywordsNonstandard analysis
dc.keywordsPrimality
dc.language.isoeng
dc.publisherTaylor & Francis
dc.relation.ispartofCommunications In Algebra
dc.subjectMathematics
dc.titleHeight bounds, nullstellensatz and primality
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorGöral, Haydar
local.publication.orgunit1GRADUATE SCHOOL OF SCIENCES AND ENGINEERING
local.publication.orgunit2Graduate School of Sciences and Engineering
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