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Opis

This is the softcover reprint of the English translation of 1972 (available from Springer since 1989) of the first 7 chapters of Bourbaki's 'Algčbre 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.

Szczegóły książki

• Pełny tytuł: Commutative Algebra. Chapt.1-7
• Autor: Nicolas Bourbaki
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 625
• EAN: 9783540642398
• ISBN: 3540642390
• ID: 05179093
• Wydawca: Springer, Berlin
• Waga: 978 g
• Wymiary: 236 × 157 × 235 mm
• Rok wydania: 1998

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