GREBNEROVE BAZE ZA KONAČNO GENERISANE IDEALE NAD NEKIM KLASAMA NENETERINIH PRSTENA

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GREBNEROVE BAZE ZA KONAČNO GENERISANE IDEALE NAD NEKIM KLASAMA NENETERINIH PRSTENA

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dc.contributor.advisor Petrović, Zoran
dc.contributor.author Roslavcev, Maja
dc.date.accessioned 2021-09-11T10:00:17Z
dc.date.available 2021-09-11T10:00:17Z
dc.date.issued 2021
dc.identifier.uri http://hdl.handle.net/123456789/5245
dc.description.abstract n this thesis we deal with the existence of Gröbner bases for finitely generated ide- als in rings of polynomials over some classes of rings which are not Noetherian. The theory of Gröbner bases is highly developed when we observe the ring of polynomials over a field or over a Noetherian ring. The case when the base ring is non-Noetherian is less examined. In that sense, the rings which will be of interest here are valuation rings of Krull dimension zero, valuation domains of Krull dimension one, also the generalization of the last: Prüfer domains of Krull dimension one. Von Neumann regular commutative rings and (p − 1)-nil-clean commutative rings will also be a matter of discussion. The conclusions of the thesis can be applied to Bezout and Boolean rings, as these form the subclasses of Prüfer and von Neumann regular rings, respectively. The thesis is mostly focused on rings of polynomials with one indeterminate. en_US
dc.description.provenance Submitted by Slavisha Milisavljevic (slavisha) on 2021-09-11T10:00:17Z No. of bitstreams: 1 MRoslavcev_TEZA.pdf: 3044954 bytes, checksum: 17647c612011ee4fc5d275e567072f6c (MD5) en
dc.description.provenance Made available in DSpace on 2021-09-11T10:00:17Z (GMT). No. of bitstreams: 1 MRoslavcev_TEZA.pdf: 3044954 bytes, checksum: 17647c612011ee4fc5d275e567072f6c (MD5) Previous issue date: 2021 en
dc.language.iso sr en_US
dc.publisher Beograd en_US
dc.title GREBNEROVE BAZE ZA KONAČNO GENERISANE IDEALE NAD NEKIM KLASAMA NENETERINIH PRSTENA en_US
mf.author.birth-date 1987-05-06
mf.author.birth-place Beograd en_US
mf.author.birth-country Srbija en_US
mf.author.residence-state Srbija en_US
mf.author.citizenship Srpsko en_US
mf.author.nationality Srpkinja en_US
mf.subject.area Mathematics en_US
mf.subject.keywords Gröbner basis, valuation domain, valuation ring, Prüfer domain, von Neumann regular commutative ring, (p − 1)-nil-clean commutative ring. en_US
mf.subject.subarea Algebra en_US
mf.contributor.committee Petrović, Zoran
mf.contributor.committee Lipkovski, Aleksandar
mf.contributor.committee Pucanović, Zoran
mf.contributor.committee Radovanović, Marko
mf.university.faculty Mathematical Faculty en_US
mf.document.references 44 en_US
mf.document.pages 64 en_US
mf.document.genealogy-project No en_US
mf.university Belgrade University en_US

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