Local Algebra by Jean-Pierre Serre
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the original in the following aspects: - The terminology has been brought up to date (e.g. cohomological dimension has been replaced by the now customary depth).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.
Professor Jean-Pierre Serre ist ein renommierter franzosischer Mathematiker am College de France, Paris.
| SKU | Unavailable |
| ISBN 13 | 9783642085901 |
| ISBN 10 | 3642085903 |
| Title | Local Algebra |
| Author | Jean Pierre Serre |
| Series | Springer Monographs In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer |
| Year published | 2011-08-13 |
| Number of pages | 130 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |