Commutative Algebra: Chapters 1-7

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Commutative Algebra: Chapters 1-7
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This is the softcover reprint of the English translation of 1972 (available from Springer since 1989) of the first 7 chapters of Bourbaki's 'AlgÃ¨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.
Country USA
Brand Springer
Manufacturer Springer
Binding Paperback
ItemPartNumber 07883423
UnitCount 1
EANs 9783540642398
ReleaseDate 0000-00-00

Commutative Algebra: Chapters 1-7

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Country	USA
Brand	Springer
Manufacturer	Springer
Binding	Paperback
ItemPartNumber	07883423
UnitCount	1
EANs	9783540642398
ReleaseDate	0000-00-00