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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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- VerlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. K
- Erscheinungsdatum1988
- ISBN 10 3540193715
- ISBN 13 9783540193715
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten656
- Kontakt zum HerstellerNicht verfügbar
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Commutative Algebra: Chapters 1-7
Anbieter: Vintage Books and Fine Art, Oxford, MD, USA
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Hardcover. Zustand: 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. Bestandsnummer des Verkäufers 12871
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