This is the softcover reprint of the English translation of 1972
(available from Springer since 1989) of the first 7 chapters of
Bourbaki's 'Algebre commutative'. It provides a very complete
treatment of commutative algebra, enabling the reader to go further
and study algebraic or arithmetic geometry. The first 3 chapters
treat in succession the concepts of flatness, localization and
completions (in the general setting of graduations and
filtrations). Chapter 4 studies associated prime ideals and the
primary decomposition. Chapter 5 deals with integers, integral
closures and finitely generated algebras over a field (including
the Nullstellensatz). Chapter 6 studies valuation (of any rank),
and the last chapter focuses on divisors (Krull, Dedekind, or
factorial domains) with a final section on modules over integrally
closed Noetherian domains, not usually found in textbooks. Useful
exercises appear at the ends of the chapters.
General
Imprint: |
Springer-Verlag
|
Country of origin: |
Germany |
Release date: |
2001 |
First published: |
1989 |
Authors: |
N. Bourbaki
|
Dimensions: |
235 x 155 x 39mm (L x W x T) |
Format: |
Paperback
|
Pages: |
625 |
Edition: |
1st ed. 1989. 2nd printing 1998 |
ISBN-13: |
978-3-540-64239-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
3-540-64239-0 |
Barcode: |
9783540642398 |
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