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dc.contributorPlanas Vilanova, Francesc d'Assís
dc.contributor.authorGonzález Hernández, Laura
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2020-07-31T09:58:35Z
dc.date.available2020-07-31T09:58:35Z
dc.date.issued2020-07
dc.identifier.urihttp://hdl.handle.net/2117/328156
dc.description.abstractThe aim of this work is twofold. First we study a family of prime ideals, in the power series ring in three variables over a field, which need arbitrarily high number of generators. This family was introduced by T. T. Moh in the seventies. Second, and having in mind to generalize this phenomenon to any three dimensional regular local ring, we study the proof of the existence of a prime ideal minimally generated by four elements, in any regular local ring. This fact was recently stated by F. Planas. We conclude the present dissertation by extending this result to a prime ideal minimally generated by five elements.
dc.language.isoeng
dc.publisherUniversitat Politècnica de Catalunya
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Anells i àlgebres
dc.subject.lcshRings (Algebra)
dc.subject.otherMoh s primes
dc.subject.otherPower series rings
dc.subject.otherRegular local rings
dc.subject.otherHilbert- Burch Theorem.
dc.titlePrime ideals in three dimensional regular local rings
dc.typeMaster thesis
dc.subject.lemacAnells locals
dc.subject.amsClassificació AMS::13 Commutative rings and algebras::13H Local rings and semilocal rings
dc.identifier.slugFME-1965
dc.rights.accessOpen Access
dc.date.updated2020-07-16T05:27:22Z
dc.audience.educationlevelMàster
dc.audience.mediatorUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística
dc.audience.degreeMÀSTER UNIVERSITARI EN MATEMÀTICA AVANÇADA I ENGINYERIA MATEMÀTICA (Pla 2010)


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