Bibliographic Information

Commutative algebra

Nicolas Bourbaki

(Elements of mathematics / Nicolas Bourbaki)

Springer-Verlag, c1989

  • ch. 1-7 : gw
  • ch. 1-7 : gw : softcover
  • ch. 1-7 : us

Other Title

Algèbre commutative

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Note

Translation of: Algèbre commutative

Bibliography: p. 603-606

Includes index

Description and Table of Contents

Volume

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"

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Details

  • NCID
    BA06628568
  • ISBN
    • 3540193715
    • 3540642390
    • 0387193715
  • LCCN
    88031138
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    fre
  • Place of Publication
    Berlin ; Tokyo
  • Pages/Volumes
    v.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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