Commutative Algebra: Chapters 1-7
- ISBN-10
- 3540642390
- ISBN-13
- 9783540642398
- Series
- Commutative Algebra
- Category
- Mathematics
- Pages
- 655
- Language
- English
- Published
- 1998-08-03
- Publisher
- Springer Science & Business Media
- Author
- N. Bourbaki
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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- 2013-12-01
- 800 pages
- Ebook
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- 2013-02-01
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- 2012-12-06
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