Commutative Algebra Chapters 1 - 7 : Elements of - Rilegato

Bourbaki, Nicolas

Rilegato

ISBN 10: 3540193715 ISBN 13: 9783540193715

Casa editrice: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1988

Riassunto

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.

Dettagli dell'edizione

• Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Data di pubblicazione: 1988
• Lingua: Inglese
• ISBN 10: 3540193715
• ISBN 13: 9783540193715
• Rilegatura: Copertina rigida
• Numero edizione: 2
• Numero di pagine: 656
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania