A álgebra dos polinômios

In this work, we will approach the definition of polynomial using the concept of sequence, which allows you to remove the ambiguity from the symbol x, and we will study the algebraic structure of the polynomial rings, the concept and criteria of polynomial irreducibility and factoring of a polynomia...

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Detalles Bibliográficos
Autor: Sousa, Reginaldo Jacinto de
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2020
País:Brasil
Institución:Universidade Federal de Goiás (UFG)
Repositorio:Repositório Institucional da UFG
Idioma:portugués
OAI Identifier:oai:repositorio.bc.ufg.br:tede/10779
Acceso en línea:http://repositorio.bc.ufg.br/tede/handle/tede/10779
Access Level:acceso abierto
Palabra clave:Álgebra
Anéis de polinômios
Irredutibilidade polinomial
Algebra
Polynomial rings
Irreducibility polynomial
CIENCIAS EXATAS E DA TERRA::MATEMATICA
Descripción
Sumario:In this work, we will approach the definition of polynomial using the concept of sequence, which allows you to remove the ambiguity from the symbol x, and we will study the algebraic structure of the polynomial rings, the concept and criteria of polynomial irreducibility and factoring of a polynomial in the product of irreducible polynomials, aiming to provide mathematics teachers who work in high school, a deepening in the study of abstract algebra. Obtaining, some suggestions of applications in the classroom, for example, the study of the rationality of a given number.