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Undergraduate Commutative Algebra (London Mathematical Society Student Texts) | 
 enlarge | Author: Miles Reid
Publisher: Cambridge University Press
Category: Book
List Price: $31.99
Buy New: $22.99
You Save: $9.00 (28%)
New (18) Used (8) from $21.00
Rating:  1 reviews
Sales Rank: 251338
Media: Paperback
Pages: 168
Number Of Items: 1
Shipping Weight (lbs): 0.6
Dimensions (in): 9 x 5.9 x 0.5
ISBN: 0521458897
Dewey Decimal Number: 512.24
EAN: 9780521458894
Publication Date: April 26, 1996
Availability: Usually ships in 1-2 business days
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Product Description
In this well-written introduction to commutative algebra, the author shows the link between commutative ring theory and algebraic geometry. In addition to standard material, the book contrasts the methods and ideology of modern abstract algebra with concrete applications in algebraic geometry and number theory. Professor Reid begins with a discussion of modules and Noetherian rings before moving on to finite extensions and the Noether normalization. Sections on the nullstellensatz and rings of fractions precede sections on primary decomposition and normal integral domains. This book is ideal for anyone seeking a primer on commutative algebra.
Book Description
Showing the link between commutative ring theory and algebraic geometry, this book contrasts the methods and ideology of modern abstract algebra with concrete applications in algebraic geometry and number theory. It is ideal for anyone seeking a primer on commutative algebra.
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| Customer Reviews:
"Undergraduate" in the best way September 24, 2000
Colin McLarty (Chardon, OH USA)
21 out of 22 found this review helpful
The material in this book is not usually considered "undergraduate": Noether normalization, spectra of rings, discrete valuation rings, and more. But this book makes them very clear. It is more geometrical, and has more motivation, than Atiyah and MacDonald INTRODUCTION TO COMMUTATIVE ALGEBRA. It is briefer and more surveyable than Eisenbud COMMUTATIVE ALGEBRA. If you go on in the subject you will certainly need Eisenbud's book. This is a very good starter, and a good companion to Eisenbud if you are learning the material on your own.
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