Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/199123
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Zarzuela, Santiago | - |
dc.contributor.author | Úbeda Ripoll, Pol | - |
dc.date.accessioned | 2023-06-13T10:11:14Z | - |
dc.date.available | 2023-06-13T10:11:14Z | - |
dc.date.issued | 2023-01-24 | - |
dc.identifier.uri | http://hdl.handle.net/2445/199123 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Santiago Zarzuela | ca |
dc.description.abstract | [en] The main goal of this project is to prove the Stanley-Reisner ring of a shellable simplicial complex is Cohen-Macaulay over every field. To do so, we study the necessary theory from a non-homological standpoint in a selfcontained manner. In particular we study associated primes, dimension and grade of a module and how these pave the way for Cohen-Macaulay theory. We continue studying simplicial complexes and basic Stanley-Reisner theory, proving the needed results in order to prove our goal. | ca |
dc.format.extent | 49 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | spa | ca |
dc.rights | cc-by-nc-nd (c) Pol Úbeda Ripoll, 2023 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Combinatòria (Matemàtica) | ca |
dc.subject.classification | Treballs de fi de grau | - |
dc.subject.classification | Anells commutatius | ca |
dc.subject.classification | Anells locals | ca |
dc.subject.other | Combinations | en |
dc.subject.other | Bachelor's theses | - |
dc.subject.other | Commutative rings | en |
dc.subject.other | Local rings | en |
dc.title | Propiedad Cohen-Macaulay en complejos simpliciales shellable | ca |
dc.type | info:eu-repo/semantics/bachelorThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
tfg_ubeda_ripoll_pol.pdf | Memòria | 648.2 kB | Adobe PDF | View/Open |
This item is licensed under a
Creative Commons License