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Topics in commutative ring theory

Author: John J Watkins
Publisher: Princeton, N.J. : Princeton University Press, ©2007.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: John J Watkins
ISBN: 9780691127484 0691127484
OCLC Number: 77485784
Description: x, 215 p. : ill. ; 27 cm.
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.
Responsibility: John J. Watkins.
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Abstract:

A commutative ring is a set-such as the integers, complex numbers, or polynomials with real coefficients - with two operations, addition and multiplication. This book guides readers from basic  Read more...

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"As an honest, focused treatment of an important subject packaged into an attractive, slender volume that average undergraduates may reasonably hope to master in one semester, this book will find its Read more...

 
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