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Topics in Commutative Ring Theory Book

Topics in Commutative Ring Theory
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Topics in Commutative Ring Theory, Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra. Commutative ring theory arose mo, Topics in Commutative Ring Theory
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  • Topics in Commutative Ring Theory
  • Written by author John J. Watkins
  • Published by Princeton University Press, 2/9/2009
  • Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra. Commutative ring theory arose mo
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Preface ix
CHAPTER 1: Rings and Subrings 1
CHAPTER 2: Ideals and Quotient Rings 11
CHAPTER 3: Prime Ideals and Maximal Ideals 23
CHAPTER 4: Zorn's Lemma and Maximal Ideals 35
CHAPTER 5: Units and Nilpotent Elements 45
CHAPTER 6: Localization 51
CHAPTER 7: Rings of Continuous Functions 69
CHAPTER 8: Homomorphisms and Isomorphisms 80
CHAPTER 9: Unique Factorization 89
CHAPTER 10: Euclidean Domains and Principal Ideal Domains 100
CHAPTER 11: Polynomial Rings 110
CHAPTER 12: Power Series Rings 119
CHAPTER 13: Noetherian Rings 128
CHAPTER 14: Dimension 137
CHAPTER 15: Gröbner Bases 154
Solutions to Selected Problems 185
Suggestions for Further Reading 209
Index 213


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Topics in Commutative Ring Theory, <i>Topics in Commutative Ring Theory</i> is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra.
Commutative ring theory arose mo, Topics in Commutative Ring Theory

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Topics in Commutative Ring Theory, <i>Topics in Commutative Ring Theory</i> is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra.
Commutative ring theory arose mo, Topics in Commutative Ring Theory

Topics in Commutative Ring Theory

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Topics in Commutative Ring Theory, <i>Topics in Commutative Ring Theory</i> is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra.
Commutative ring theory arose mo, Topics in Commutative Ring Theory

Topics in Commutative Ring Theory

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