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Lieferstatus:	i.d.R. innert 5-10 Tagen versandfertig
Veröffentlichung:	August 1998
Genre:	Schulbücher
	Algebra / algebraicgeometry / Algebraische Geometrie / arithmetical / commutativealgebra / divisors / DSI_D020 / Geometrie / Algebraische Geometrie / geometry / Kommutation - kommutativ mehr...
ISBN:	9783540642398
EAN-Code:	9783540642398
Verlag:	Springer
Einband:	Kartoniert
Sprache:	English
Dimensionen:	H 235 mm / B 155 mm / D 35 mm
Gewicht:	972 gr
Seiten:	652
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.