| Author: |
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Nicolas Bourbaki
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| Title: |
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Commutative Algebra: Chapters 1-7 |
| Moochable copies: |
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No copies available |
| Topics: |
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| Published in: |
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German (Germany) |
| Binding: |
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Hardcover |
| Pages: |
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656 |
| Date: |
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1989-01-20 |
| ISBN: |
|
3540193715 |
| Publisher: |
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Springer |
| Weight: |
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1.74 pounds |
| Edition: |
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1st ed. 1972. 2nd printing |
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| Description: |
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Product Description
This is the softcover reprint of the English translation of 1972 (available from Springer since 1989) of the first 7 chapters of Bourbaki's 'Algèbre 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.
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| URL: |
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http://bookmooch.com/3540193715 |
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