Commutative Algebra - Chapters 1-7 (Paperback, 1st ed. 1989. 2nd printing 1998)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Release date:	2001
First published:	1989
Authors:	N. Bourbaki
Dimensions:	235 x 155 x 39mm (L x W x T)
Format:	Paperback
Pages:	625
Edition:	1st ed. 1989. 2nd printing 1998
ISBN-13:	978-3-540-64239-8
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Promotions
LSN:	3-540-64239-0
Barcode:	9783540642398

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