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Prime ideals in three dimensional regular local rings
dc.contributor | Planas Vilanova, Francesc d'Assís |
dc.contributor.author | González Hernández, Laura |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2020-07-31T09:58:35Z |
dc.date.available | 2020-07-31T09:58:35Z |
dc.date.issued | 2020-07 |
dc.identifier.uri | http://hdl.handle.net/2117/328156 |
dc.description.abstract | The 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.iso | eng |
dc.publisher | Universitat Politècnica de Catalunya |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Anells i àlgebres |
dc.subject.lcsh | Rings (Algebra) |
dc.subject.other | Moh s primes |
dc.subject.other | Power series rings |
dc.subject.other | Regular local rings |
dc.subject.other | Hilbert- Burch Theorem. |
dc.title | Prime ideals in three dimensional regular local rings |
dc.type | Master thesis |
dc.subject.lemac | Anells locals |
dc.subject.ams | Classificació AMS::13 Commutative rings and algebras::13H Local rings and semilocal rings |
dc.identifier.slug | FME-1965 |
dc.rights.access | Open Access |
dc.date.updated | 2020-07-16T05:27:22Z |
dc.audience.educationlevel | Màster |
dc.audience.mediator | Universitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística |
dc.audience.degree | MÀSTER UNIVERSITARI EN MATEMÀTICA AVANÇADA I ENGINYERIA MATEMÀTICA (Pla 2010) |