{"product_id":"commutative-algebra-chapters-1-7-von-n-bourbaki","title":"Commutative Algebra","description":"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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540642398\"\u003e\u003ch3\u003eChapters 1-7\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540642398","offer_id":39437028196445,"sku":"9783540642398","price":69.54,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/9d0ec43e-05de-43e9-af5a-9a98f934733b.jpg?v=1769837957","url":"https:\/\/shop.autorenwelt.de\/en\/products\/commutative-algebra-chapters-1-7-von-n-bourbaki","provider":"Autorenwelt Shop","version":"1.0","type":"link"}