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Commutative Algebra : Chapters 1-7 - Nicolas Bourbaki

Commutative Algebra

Chapters 1-7


Published: 3rd August 1998
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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 '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.

Lie Algebras
Free Lie Algebras
Lie Groups
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540642398
ISBN-10: 3540642390
Audience: General
Format: Paperback
Language: English
Number Of Pages: 625
Published: 3rd August 1998
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 15.24 x 22.61  x 4.06
Weight (kg): 0.98
Edition Number: 2