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The Theory of Classical Valuations

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Cover of 'The Theory of Classical Valuations'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Absolute Values of Fields
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    Chapter 3 Valuations of a Field
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    Chapter 4 Polynomials and Henselian Valued Fields
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    Chapter 5 Extensions of Valuations
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    Chapter 6 Uniqueness of Extensions of Valuations and Poly-Complete Fields
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    Chapter 7 Extensions of Valuations: Numerical Relations
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    Chapter 8 Power Series and the Structure of Complete Valued Fields
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    Chapter 9 Decomposition and Inertia Theory
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    Chapter 10 Ramification Theory
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    Chapter 11 Valuation Characterizations of Dedekind Domains
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    Chapter 12 Galois Groups of Algebraic Extensions of Infinite Degree
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    Chapter 13 Ideals, Valuations, and Divisors in Algebraic Extensions of Infinite Degree over ℚ
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    Chapter 14 A Glimpse of Krull Valuations
Attention for Chapter 6: Uniqueness of Extensions of Valuations and Poly-Complete Fields
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