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Google圖書搜尋
Commutative Algebra
N. Bourbaki
其他書名
Chapters 1-7
出版
Springer Science & Business Media
, 1998-08-03
主題
Mathematics / Algebra / General
Mathematics / Algebra / Abstract
ISBN
3540642390
9783540642398
URL
http://books.google.com.hk/books?id=Bb30CjGW7EAC&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.