Aneis de Polinomios sobre Aneis Comutativos
Wallace Ferreira Gomes
Aneis de Polinomios sobre Aneis Comutativos
Wallace Ferreira Gomes
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Neste Livro, e abordarmos os Aneis de Polinomios sobre a classe dos Aneis Comutativos, onde este estudo se torna basico para estudos posteriores em Algebra Comutativa e na Teoria Algebrica dos Numeros. Procuramos utilizar o caminho mais pratico para o leitor desenvolver o intersere em estudos mais avancados nas areas ja supracitadas. Apos um resumo preliminar da teoria basica dos aneis, introduzimos conceitos de Aneis de polinomios e demonstramos os principais teoremas relacionados a dominios fatoriais e euclidianos. Enunciamos e Demonstramos o Teorema de Gauss que conclui que se um anel R e Dominio de Fatoracao Unica entao o Anel de Polinomio R[X] tambem e um Dominio de Fatoracao Unica.
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