| Preface to the Second Edition Preface to the First Edition To the Reader Symmetry Rings Domains and Fields Homomorphisms and Ideals Quotient Rings Polynomial Rings over Fields Prime Ideals and Maximal Ideals Irreducible Polynomials Classical Formulas Splitting Fields The Galois Group Roots of Unity Solvability by Radicals Independence of Characters Galois Extensions The Fundamental Theorem of Galois Theory |
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