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A course in commutative algebra

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Cover of 'A course in commutative algebra'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Hilbert’s Nullstellensatz
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    Chapter 3 Noetherian and Artinian Rings
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    Chapter 4 The Zariski Topology
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    Chapter 5 A Summary of the Lexicon
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    Chapter 6 Krull Dimension and Transcendence Degree
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    Chapter 7 Localization
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    Chapter 8 The Principal Ideal Theorem
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    Chapter 9 Integral Extensions
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    Chapter 10 Gröbner Bases
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    Chapter 11 Fibers and Images of Morphisms Revisited
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    Chapter 12 Hilbert Series and Dimension
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    Chapter 13 Dimension Theory
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    Chapter 14 Regular Local Rings
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    Chapter 15 Rings of Dimension One
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