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Introducción a la teoría de valoraciones


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Author: Piedra de la Cuadra, Ramón
Director: Olalla Acosta, Miguel Ángel
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2016
Document type: Final Degree Work
Academic Title: Universidad de Sevilla. Grado en Matemáticas
Abstract: This paper makes an introduction to the theory of valuations on fields, we try to analyse the extension of valuations in transcendental extensions and the application on the irreducibility of polynomials showing the criterion of irreducibility of Eisenstein and noting that other many criteria of irreducibility of polynomials can be demonstrated through this theory. In this work we have relied on the work already done by Michel VAQUIÉ in Valuations (August 17, 1998) and by Saunders MacLane in A construction for absolute values in polynomial rings (1936).
Cite: Piedra de la Cuadra, R. (2016). Introducción a la teoría de valoraciones. (Trabajo fin de grado inédito). Universidad de Sevilla, Sevilla.
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