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Item Details
Title:
UNDERGRADUATE COMMUTATIVE ALGEBRA
By:
Miles Reid, J. Bruce
Format:
Paperback
List price:
£39.99
Our price:
£34.99
Discount:
12.5
% off
You save:
£5.00
ISBN 10:
0521458897
ISBN 13:
9780521458894
Availability:
Usually dispatched within 1-3 weeks.
Delivery rates
Stock:
Currently
0
available
Publisher:
CAMBRIDGE UNIVERSITY PRESS
Pub. date:
30 November, 1995
Series:
London Mathematical Society Student Texts No.29
Pages:
168
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.
Synopsis:
Commutative algebra is at the crossroads of algebra, number theory and algebraic geometry. This textbook is affordable and clearly illustrated, and is intended for advanced undergraduate or beginning graduate students with some previous experience of rings and fields. Alongside standard algebraic notions such as generators of modules and the ascending chain condition, the book develops in detail the geometric view of a commutative ring as the ring of functions on a space. The starting point is the Nullstellensatz, which provides a close link between the geometry of a variety V and the algebra of its coordinate ring A=k[V]; however, many of the geometric ideas arising from varieties apply also to fairly general rings. The final chapter relates the material of the book to more advanced topics in commutative algebra and algebraic geometry. It includes an account of some famous 'pathological' examples of Akizuki and Nagata, and a brief but thought-provoking essay on the changing position of abstract algebra in today's world.
Illustrations:
11 b/w illus.
Publication:
UK
Imprint:
Cambridge University Press
Returns:
Returnable
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