Commutative Algebra: Chapters 1-7 - Softcover

Bourbaki, N.

Softcover

ISBN 10: 3540642390 ISBN 13: 9783540642398

Verlag: Springer, 1998

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1998
• Sprache: Englisch
• ISBN 10: 3540642390
• ISBN 13: 9783540642398
• Einband: Taschenbuch
• Auflage: 1
• Anzahl der Seiten: 652
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland