Undergraduate Commutative Algebra

Miles Reid (University of Warwick), J. Bruce

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English

Cambridge University Press
29 January 1996

Mathematics & Sciences; Groups & group theory

Series: London Mathematical Society Student Texts

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.

By: Miles Reid (University of Warwick)
Series edited by: J. Bruce
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 29
Dimensions: Height: 227mm, Width: 153mm, Spine: 10mm
Weight: 240g
ISBN: 9780521458894
ISBN 10: 0521458897
Series: London Mathematical Society Student Texts
Pages: 168
Publication Date: 29 January 1996
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Reviews for Undergraduate Commutative Algebra

'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