Dijous 11 de juny, el Dipòsit Digital no estarà operatiu de 15:00 a 17:00 h per tasques de manteniment. Disculpeu les molèsties.
El jueves 11 de Junio, el Dipòsit Digital no estará operativo de 15:00 a 17:00 h debido a tareas de mantenimiento. Disculpen las molestias.
Thursday, Jun 11th, the Digital Repository will be unavailable due to a system update.

Files

tfg_sanchez_ruiz_noelia.pdf (729.62 KB)

Document type

Bachelor thesis

Publication date

2022-01-24

Publication license

cc-by-nc-nd (c) Noelia Sánchez Ruiz, 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/186157

Càlcul en anells locals

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

Abstract

[en] Local Rings are rings with a single maximal ideal. This report consists on the study of this type of rings and, following a parallel structure to the one used in the study of Multivariate Polynomial Rings, we arrive at the construction of standard bases. In order to define standard bases, we will have to study previous theorems and algorithms. Among the most important ones, we can find Mora’s algorithm. This algorithm will allow us to divide polynomials in Local Rings. Finally, we will apply the standard bases using a program called Singular.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Carlos D'Andrea

Subject

Anells locals, Treballs de fi de grau, Àlgebra commutativa, Geometria algebraica

Subject (English)

Local rings, Bachelor's theses, Commutative algebra, Algebraic geometry

Citation

Collections

Treballs Finals de Grau (TFG) - Matemàtiques

Citation

SÁNCHEZ RUIZ, Noelia. Càlcul en anells locals. [consulted: 10 of June of 2026]. Available at: https://hdl.handle.net/2445/186157

Export metadata

JSON - METS

Share record