Topics in Commutative Ring Theory /

Topics in Commutative Ring Theory / / John J. Watkins.

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 more than a century ago to address questions in geometry...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
VerfasserIn:
Watkins, John J.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2009]
©2007
Year of Publication:2009
Language:English
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Physical Description:1 online resource (232 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • 1. Rings and Subrings
  • 2. Ideals and Quotient Rings
  • 3. Prime Ideals and Maximal Ideals
  • 4. Zorn's Lemma and Maximal Ideals
  • 5. Units and Nilpotent Elements
  • 6. Localization
  • 7. Rings of Continuous Functions
  • 8. Homomorphisms and Isomorphisms
  • 9. Unique Factorization
  • 10. Euclidean Domains and Principal Ideal Domains
  • 11. Polynomial Rings
  • 12. Power Series Rings
  • 13. Noetherian Rings
  • 14. Dimension
  • 15. Gröbner Bases
  • Solutions to Selected Problems
  • Suggestions for Further Reading
  • Index

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