{"product_id":"local-algebra-book-jean-pierre-serre-9783642085901","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the original in the following aspects: - The terminology has been brought up to date (e.g. cohomological dimension has been replaced by the now customary depth).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. I 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.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52662421651729,"sku":"NLS9783642085901","price":117.09,"currency_code":"AUD","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52761792512273,"sku":"NIN9783642085901","price":0.0,"currency_code":"AUD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783642085901.jpg?v=1762269463","url":"https:\/\/www.worldofbooks.com\/en-au\/products\/local-algebra-book-jean-pierre-serre-9783642085901","provider":"World of Books ","version":"1.0","type":"link"}