Undergraduate Commutative Algebra

Undergraduate Commutative Algebra book cover

Undergraduate Commutative Algebra

Author(s): Miles Reid (Author)

  • Publisher: Cambridge University Press
  • Publication Date: November 30, 1995
  • Edition: 1st
  • Language: English
  • Print length: 168 pages
  • ISBN-10: 0521458897
  • ISBN-13: 9780521458894

Book 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.

Editorial Reviews

Review

‘It gives a fresh picture of the subject for a new generation of students.’ P. Scnezel, Zentralblatt fur Mathematik

‘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

Book Description

For those looking for an introduction to the area of commutative algebra, this book opens all the right doors and provides a clarity of understanding that all will welcome.

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