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Commutative Algebra: Chapters 1-7 by N. Bourbaki

Commutative Algebra: Chapters 1-7

by N. Bourbaki
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Book cover type: Paperback
  • ISBN13: 9783540642398
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 625
  • Original Price: EUR 64.99
  • Language: English
  • Edition: 1989. 2nd Print
  • Item Weight: 976 grams
  • BISAC Subject(s): Algebra / Abstract

This is the softcover reprint of the English translation of 1972 (available from Springer since 1989) of the first 7 chapters of Bourbaki's 'Algèbre 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.

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