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29por Salinas y Angulo, IgnacioTabla de Contenidos: “…Conté: 1, Algebra elemental…”
Publicado 1885
991005617919706719 -
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36por Swamy, U. M.Tabla de Contenidos: “…Chapter 11: Polynomial Rings -- 11.1 Rings of polynomials -- 11.2 The division algorithm -- 11.3 Polynomials over a field -- 11.4 Irreducible polynomials -- Chapter 12: Factorization in Integral Domains -- 12.1 Divisibility in integral domains -- 12.2 Principal ideal domains -- 12.3 Unique factorization domains -- 12.4 Polynomials over UFDs -- 12.5 Euclidean domains -- 12.6 Some applications to number theory -- Chapter 13: Modules and Vector Spaces -- 13.1 Modules and submodules -- 13.2 Homomorphisms and quotients of modules -- 13.3 Direct products and sums -- 13.4 Simple and completely reducible modules -- 13.5 Free modules -- 13.6 Vector spaces -- Part IV: Field Theory -- Chapter 14: Extension Fields -- 14.1 Extensions of a field -- 14.2 Algebraic extensions -- 14.3 Algebraically closed fields -- 14.4 Derivatives and multiple roots -- 14.5 Finite fields -- Chapter 15: Galois Theory -- 15.1 Separable and normal extensions -- 15.2 Automorphism groups and fixed fields -- 15.3 Fundamental theorem of Galois theory -- Chapter 16: Selected Applications of Galois Theory -- 16.1 Fundamental theorem of algebra -- 16.2 Cyclic extensions -- 16.3 Solvable groups -- 16.4 Polynomials solvable by radicals -- 16.5 Constructions by ruler and compass -- Answers/Hints to Selected Even-Numbered Exercises -- Index…”
Publicado 2012
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