Algèbre Locale, Multiplicités: Cours au Collège de France, 1957 - 1958 / Edition 3

by Jean-Pierre Serre, Pierre Gabriel

Overview

This edition reproduces the 2nd corrected printing of the 3rd edition of the now classic notes by Professor Serre, long established as one of the standard introductory texts on local algebra. Referring for background notions to Bourbaki's "Commutative Algebra" (English edition Springer-Verlag 1988), the book focusses on the various dimension theories and theorems on mulitplicities of intersections with the Cartan-Eilenberg functor Tor as the central concept. The main results are the decomposition theorems, theorems of Cohen-Seidenberg, the normalisation of rings of polynomials, dimension (in the sense of Krull) and characteristic polynomials (in the sense of Hilbert-Samuel).

Product Details

ISBN-13:	9783540070283
Publisher:	Springer Berlin Heidelberg
Publication date:	05/10/1989
Series:	Lecture Notes in Mathematics , #11
Edition description:	3ème éd. 1975
Pages:	160
Product dimensions:	6.10(w) x 9.25(h) x 0.01(d)
Language:	French

Table of Contents

Idéaux Premiers et Localisation.- Outils et Sorites.- Théorie de la Dimension.- Dimension et Codimension Homologiques.- Les Multiplicités.