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

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Watkins, John J.
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, 2008.
Subjects:
Commutative rings.
Rings (Algebra)
Anneaux commutatifs.
Anneaux (Algèbre)
MATHEMATICS / Algebra / Intermediate
MATHEMATICS / Algebra / Abstract
Online Access:Texto completo
Table of Contents:
  • 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 Grbner Bases; Solutions to Selected Problems; Suggestions for Further Reading; Index.

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