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Cover: 9783540642398 | Commutative Algebra | Chapters 1-7 | N. Bourbaki | Taschenbuch | xxiv
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Commutative Algebra
Chapters 1-7
Taschenbuch von N. Bourbaki
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung
Softcover edition
Inhaltsverzeichnis
Flat Modules; Localization; Graduations, Filtrations and Topologies; Associated Prime Ideals and Primary Decomposition, Integers, Valuations, Divisors, Exercises
Details
Erscheinungsjahr: 1998
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xxiv
625 S.
ISBN-13: 9783540642398
ISBN-10: 3540642390
Sprache: Englisch
Herstellernummer: 10670205
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Bourbaki, N.
Auflage: 1st ed. 1989. 2nd printing 1998
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 35 mm
Von/Mit: N. Bourbaki
Erscheinungsdatum: 03.08.1998
Gewicht: 0,972 kg
Artikel-ID: 106820635
Zusammenfassung
Softcover edition
Inhaltsverzeichnis
Flat Modules; Localization; Graduations, Filtrations and Topologies; Associated Prime Ideals and Primary Decomposition, Integers, Valuations, Divisors, Exercises
Details
Erscheinungsjahr: 1998
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xxiv
625 S.
ISBN-13: 9783540642398
ISBN-10: 3540642390
Sprache: Englisch
Herstellernummer: 10670205
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Bourbaki, N.
Auflage: 1st ed. 1989. 2nd printing 1998
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 35 mm
Von/Mit: N. Bourbaki
Erscheinungsdatum: 03.08.1998
Gewicht: 0,972 kg
Artikel-ID: 106820635
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