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From The Original In The Following Aspects The Terminology Has Been Brought Up To Date E.g Cohomological Dimension Has Been Replaced By The Now Customary Depth I Have Rewritten A Few Proofs And Clarified Or So I Hope A Few A Section On Graded Algebras Has Been Added App III To Chap IV New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.
Born in Bages, Pyr n es Orientales, France, to pharmacist parents, Serre was educated at the Lyc e de N mes and then from 1945 to 1948 at the cole Normale Sup rieure in Paris He was awarded his doctorate from the Sorbonne in 1951 From 1948 to 1954 he held positions at the Centre National de la Recherche Scientifique in Paris In 1956 he was elected professor at the Coll ge de France, a position
- 130 pages
- Local Algebra (Springer Monographs in Mathematics)
- Jean-Pierre Serre
- 25 April 2017 Jean-Pierre Serre