Research Catalog

Topics in commutative ring theory

Title
Topics in commutative ring theory / John J. Watkins.
Author
Watkins, John J.
Publication
Princeton, N.J. : Princeton University Press, ©2007.

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Details

Description
x, 215 pages : illustrations; 27 cm
Summary
'Topics in Commutative Ring Theory' is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to the fascinating area of abstract algebra.
Subject
  • Commutative rings
  • Rings (Algebra)
  • Commutative rings
  • Kommutativer Ring
  • Anneaux commutatifs
  • Anneaux (algèbre)
  • Algebra
Bibliography (note)
  • Includes bibliographical references (p. [209]-212) and index.
Contents
Rings and subrings -- Ideals and quotient rings -- Prime ideals and maximal ideals -- Zorn's lemma and maximal ideals -- Units and nilpotent elements -- Localization -- Rings of continuous functions -- Homomorphisms and isomorphisms -- Unique factorization -- Euclidean domains and principal ideal domains -- Polynomial rings -- Power series rings -- Noetherian rings -- Dimension -- Gröbner bases.
ISBN
  • 9780691127484
  • 0691127484
LCCN
2006052875
OCLC
  • ocm77485784
  • 77485784
  • SCSB-1438132
Owning Institutions
Princeton University Library