{"product_id":"commutative-algebra-chapters-1-7-9783540642398","title":"Commutative Algebra: Chapters 1-7","description":"\u003cp\u003e • Author(s): N. Bourbaki\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Algebra - Abstract\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45284814684311,"sku":"9783540642398","price":4774.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540642398.webp?v=1769282304","url":"https:\/\/atlanticbooks.com\/products\/commutative-algebra-chapters-1-7-9783540642398","provider":"Atlantic Books","version":"1.0","type":"link"}