Commutative Algebra: Chapters 1-7 (Paperback)
$56.62 - Save $18.33 24% off - RRP $74.95 Free shipping worldwide (to United States and
all these other countries) Usually dispatched within 48 hours | |Short Description for Commutative Algebra: Chapters 1-7 This is the English translation of the first seven chapters of Bourbaki's "Algbre Commutative". It provides a treatment of commutative algebra, seeking to enable the reader to go on and study algebraic or arithmetic geometry.
Full description- Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Published: 01 January 1999
- Format: Paperback 656 pages
- See: Full bibliographic data
- Categories: Algebra | Algebraic Geometry
- ISBN 13: 9783540642398 ISBN 10: 3540642390
- Sales rank: 1,036,021
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Full description for Commutative Algebra: Chapters 1-7
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.
