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Synopsis
This is the softcover reprint of the English translation of 1972 (available from Springer since 1989) of the first 7 chapters of Bourbaki's 'AlgA]bre 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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- PublisherSpringer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication date1988
- ISBN 10 3540193715
- ISBN 13 9783540193715
- BindingHardcover
- LanguageEnglish
- Edition number2
- Number of pages656
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Commutative Algebra: Chapters 1-7
Seller: Vintage Books and Fine Art, Oxford, MD, U.S.A.
Seller rating 4 out of 5 stars
Hardcover. Condition: Very Good. 1st ed. 1972. 2nd printing. Yellow cloth. Square Tight Binding.Clean interior save for p/o signature to top of front paste down. Very mild wear, but just a touch of sunning to spine. Seller Inventory # 12871
Quantity: 1 available