Commutative algebra
Author(s)
Bibliographic Information
Commutative algebra
（Elements of mathematics / Nicolas Bourbaki）
Springer-Verlag, c1989
- ch. 1-7 : gw
- ch. 1-7 : gw : softcover
- ch. 1-7 : us
- Other Title
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Algèbre commutative
Available at 57 libraries
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Library & Science Information Center, Osaka Prefecture University
ch. 1-7 : gwNDC6:412.8||BO||10091543973
Note
Translation of: Algèbre commutative
Bibliography: p. 603-606
Includes index
Description and Table of Contents
- Volume
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ch. 1-7 : gw ISBN 9783540193715
Description
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.
- Volume
-
ch. 1-7 : gw : softcover ISBN 9783540642398
Description
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.
Table of Contents
- Flat Modules
- Localization
- Graduations, Filtrations and Topologies
- Associated Prime Ideals and Primary Decomposition, Integers, Valuations, Divisors, Exercises
by "Nielsen BookData"