Publisher description for Local algebra / Jean-Pierre Serre ; translated from the French by CheeWhye Chin.


Bibliographic record and links to related information available from the Library of Congress catalog


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This is an English translation of the now classic "Alg├Ębre Locale - Multiplicit├ęs" originally published by Springer as LNM 11, in several editions since 1965. It gives a short account of the main theorems of commutative algebra, with emphasis on modules, homological methods and intersection multiplicities ("Tor-formula"). Many modifications to the original French text have been made by the author for this English edition: they make the text easier to read, without changing its intended informal character.


Library of Congress subject headings for this publication:
Geometry, Algebraic.
Local rings.
Modules (Algebra)
Dimension theory (Algebra)