Commutative Algebra 2025 pdf epub mobi 电子书

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发表于2025-01-10

Commutative Algebra 2025 pdf epub mobi 电子书

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出版者:Springer

作者:Nicolas Bourbaki

出品人:

页数:656

译者:

出版时间:1989-01-20

价格:USD 79.00

装帧:Hardcover

isbn号码:9783540193715

丛书系列:Elements of Mathematics

图书标签: 数学

Commutative Algebra 2025 pdf epub mobi 电子书图书描述

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.

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