Undergraduate Commutative Algebra
$55.99 ( ) USD
Part of London Mathematical Society Student Texts
- Author: Miles Reid, University of Warwick
- Date Published: July 2013
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
- format: Adobe eBook Reader
- isbn: 9781107266278
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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.
Reviews & endorsements
'It gives a fresh picture of the subject for a new generation of students.' P. Scnezel, Zentralblatt fur Mathematik
See more reviews'The author takes care to explain the geometric and number theoretic meaning of the algebraic methods and results presented. This makes the book perhaps more demanding, but surely much more interesting than the standard ones.' European Mathematical Society Newsletter
'Besides the usual topics … there are some welcome geometrical illustrations, as well as some homespun philosophy.' Mathematica
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×Product details
- Date Published: July 2013
- format: Adobe eBook Reader
- isbn: 9781107266278
- contains: 11 b/w illus.
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
Hello!
1. Basics
2. Modules
3. Noetherian rings
4. Finite extensions and Noether normalisation
5. The nullstellensatz and spec A
6. Rings of fractions S-1A and localisation
7. Primary decomposition
8. DVRs and normal integral domains
9. Goodbye!
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