{"product_id":"local-algebra-9783642085901","title":"Local Algebra","description":"\u003cp\u003e • Author(s): Jean-Pierre Serre | C. W. Chin\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Algebra - General\u003c\/p\u003e\u003cp\u003eThe present book is an English translation of Algebre Locale - Multiplicites published by Springer-Verlag as no. 11 of the Lecture Notes series. The original text was based on a set of lectures, given at the College de France in 1957-1958, and written up by Pierre Gabriel. Its aim was to give a short account of Commutative Algebra, with emphasis on the following topics: a) Modules (as opposed to Rings, which were thought to be the only subject of Commutative Algebra, before the emergence of sheaf theory in the 1950s); b) H omological methods, a la Cartan-Eilenberg; c) Intersection multiplicities, viewed as Euler-Poincare characteristics. The English translation, done with great care by Chee Whye Chin, differs from the original in the following aspects: - The terminology has been brought up to date (e.g. \"cohomological dimension\" has been replaced by the now customary \"depth\"). I have rewritten a few proofs and clarified (or so I hope) a few more. - A section on graded algebras has been added (App. III to Chap. IV). - New references have been given, especially to other books on Commu- tive Algebra: Bourbaki (whose Chap. X has now appeared, after a 40-year wait), Eisenbud, Matsumura, Roberts, .... I hope that these changes will make the text easier to read, without changing its informal \"Lecture Notes\" character.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":47600457777303,"sku":"9783642085901","price":5711.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783642085901.webp?v=1775008524","url":"https:\/\/atlanticbooks.com\/products\/local-algebra-9783642085901","provider":"Atlantic Books","version":"1.0","type":"link"}