{"product_id":"commutative-algebra-chapters-1-7-9783540642398","title":"Commutative Algebra: Chapters 1-7","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 'Alg bre 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=AUTH-643713\"\u003eN. Bourbaki\u003c\/a\u003e\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/03\/1998\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 625\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.15lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 6.00h x 8.90w x 1.60d\u003cbr\u003e\u003cb\u003eISBN13:\u003c\/b\u003e 9783540642398\u003cbr\u003e\u003cb\u003eISBN10:\u003c\/b\u003e 3540642390\u003cbr\u003e\u003cb\u003eBISAC Categories:\u003c\/b\u003e\u003cbr\u003e- \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=CAT-MAT\"\u003eMathematics\u003c\/a\u003e | \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=BISAC-MAT002010\"\u003eAlgebra | Abstract\u003c\/a\u003e\u003cbr\u003e\u003cp\u003e\u003ci\u003eThis title is not returnable\u003c\/i\u003e\u003cbr\u003e\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":44590015873261,"sku":"9783540642398","price":119.98,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0550\/8097\/6621\/products\/img_bb2145c0-ae1d-461a-bbdd-cb18e7070fdc.jpg?v=1702252574","url":"https:\/\/sureshotbooks.com\/es\/products\/commutative-algebra-chapters-1-7-9783540642398","provider":"SureShot Books Publishing LLC","version":"1.0","type":"link"}