Code: 05179093

Commutative Algebra. Chapt.1-7

Name: Commutative Algebra. Chapt.1-7
Brand: Springer, Berlin
SKU: 05179093
Price: 72.07 EUR
Availability: InStock
Author: Nicolas Bourbaki
ISBN: 9783540642398

by Nicolas Bourbaki

Language: English
Binding: Paperback
Number of pages: 625
Publisher: Springer, Berlin, 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 'Algčbre 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.