FRENCH

Algèbre locale, multiplicités

By Jean-Pierre Serre , Pierre Gabriel

Book information

Publisher
Springer
Year
1975
ISBN
9783540070283, 3540070281
Open Library ID
OL9699962M
Language
french
Format
PDF
Filesize
6 MB (6273586 bytes)
Series
Lecture Notes in Mathematics
Edition
3rd
Pages
195\195
Time added
2009-08-06 05:14:26

Description

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).

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