Minimal homogeneous bases for polynomial ideals

dc.authorid0000-0003-0763-9408en_US
dc.contributor.authorYılmaz, Erol
dc.contributor.authorKılıçarslan, Sibel
dc.date.accessioned2021-06-23T19:17:48Z
dc.date.available2021-06-23T19:17:48Z
dc.date.issued2004
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe minimal homogeneous basis is defined. It is shown that every minimal homogeneous basis of an ideal has the same number of elements. An algorithm for finding a minimal homogeneous basis is developed. The main idea is to modify the classical Buchberger's algorithm for finding a Grobner basis so that a minimal homogeneous basis can be obtained as a subset of a Grobner basis.en_US
dc.identifier.doi10.1007/s00200-004-0159-3
dc.identifier.endpage278en_US
dc.identifier.issn0938-1279
dc.identifier.issue3-4en_US
dc.identifier.scopus2-s2.0-10644250955en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage267en_US
dc.identifier.urihttps://doi.org/10.1007/s00200-004-0159-3
dc.identifier.urihttps://hdl.handle.net/20.500.12491/5548
dc.identifier.volume15en_US
dc.identifier.wosWOS:000225302700008en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorYılmaz, Erol
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofApplicable Algebra In Engineering Communication And Computingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGrobner Basesen_US
dc.subjectSyzygiesen_US
dc.subjectPolynomial Idealsen_US
dc.titleMinimal homogeneous bases for polynomial idealsen_US
dc.typeArticleen_US

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