Commutative Algebra by N Bourbaki

Commutative Algebra by N Bourbaki

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Summary

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.

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Commutative Algebra by N Bourbaki

This is the softcover reprint of the English translation of 1972 (available from Springer since 1989) of the first 7 chapters of Bourbaki's 'Alg 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.
SKU Unavailable
ISBN 13 9783540642398
ISBN 10 3540642390
Title Commutative Algebra
Author N Bourbaki
Condition Unavailable
Binding Type Paperback
Publisher Springer
Year published 1998-08-03
Number of pages 625
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable