Commutative Algebra

Chapters 1-7

N. Bourbaki (Autor)

Buch | Softcover

XXIV, 625 Seiten

1998 | 1st ed. 1989. 2nd printing 1998
Springer Berlin (Verlag)
978-3-540-64239-8 (ISBN)

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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 '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.

Flat Modules; Localization; Graduations, Filtrations and Topologies; Associated Prime Ideals and Primary Decomposition, Integers, Valuations, Divisors, Exercises

Erscheint lt. Verlag	3.8.1998
Zusatzinfo	XXIV, 625 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	970 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Schlagworte	Algebraic Geometry • Algebraische Geometrie • arithmetical • Commutative algebra • divisors • DSI_D020 • DSID020 • Geometry • Hardcover, Softcover / Mathematik/Arithmetik, Algebra • HC/Mathematik/Arithmetik, Algebra • Kommutative Algebra • Mathematik; Handbuch/Lehrbuch • Mathematik; Hand-/Lehrbücher
ISBN-10	3-540-64239-0 / 3540642390
ISBN-13	978-3-540-64239-8 / 9783540642398
Zustand	Neuware