Springer Monographs in Mathematics

Local Algebra

Authors: Serre, Jean-Pierre

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About this book

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original in the following aspects: - The terminology has been brought up to date (e.g. "cohomological dimension" has been replaced by the now customary "depth").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. 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.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-662-04203-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.95
price for USA in USD
  • ISBN 978-3-540-66641-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.95
price for USA in USD
  • ISBN 978-3-642-08590-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Local Algebra
Authors
Translated by
Chin, C.W.
Series Title
Springer Monographs in Mathematics
Copyright
2000
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-04203-8
DOI
10.1007/978-3-662-04203-8
Hardcover ISBN
978-3-540-66641-7
Softcover ISBN
978-3-642-08590-1
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XV, 130
Additional Information
Original French edition published as volume 11 in the series: Lecture Notes Mathematics, 1965
Topics