{"product_id":"local-algebra-c-w-chin-9783540666417","title":"Local Algebra","description":"The 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original in the following aspects: - The terminology has been brought up to date (e.g. \"cohomological dimension\" has been replaced by the now customary \"depth\").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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Jean-Pierre Serre\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3540666419\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783540666417\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/16\/2000\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 130\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.76lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.44h x 6.39w x 0.56d","brand":"Jean-Pierre Serre","offers":[{"title":"Hardcover","offer_id":44125994942719,"sku":"9783540666417","price":69.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_31381b02-a773-4d4d-82e8-e8e9a83c588e.jpg?v=1687445704","url":"https:\/\/www.whiterainbookhouse.com\/products\/local-algebra-c-w-chin-9783540666417","provider":"WR Book House","version":"1.0","type":"link"}