Coverart for item
The Resource Algèbre locale, multiplicités : cours au Collège de France, 1957-1958, Jean-Pierre Serre ; rédigé par Pierre Gabriel

Algèbre locale, multiplicités : cours au Collège de France, 1957-1958, Jean-Pierre Serre ; rédigé par Pierre Gabriel

Label
Algèbre locale, multiplicités : cours au Collège de France, 1957-1958
Title
Algèbre locale, multiplicités
Title remainder
cours au Collège de France, 1957-1958
Statement of responsibility
Jean-Pierre Serre ; rédigé par Pierre Gabriel
Creator
Contributor
Subject
Genre
Language
fre
Summary
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)
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1926-
http://library.link/vocab/creatorName
Serre, Jean-Pierre
Dewey number
513.83
Index
no index present
LC call number
  • QA564
  • QA3
LC item number
.L28 no. 11
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1933-
http://library.link/vocab/relatedWorkOrContributorName
Gabriel, Peter
Series statement
Lecture notes in mathematics,
Series volume
11
http://library.link/vocab/subjectName
  • Algebraic fields
  • Geometry, Algebraic
  • Local rings
  • Modules (Algebra)
  • Dimension theory (Algebra)
  • Homology theory
  • Algebraic fields
  • Dimension theory (Algebra)
  • Geometry, Algebraic
  • Homology theory
  • Local rings
  • Modules (Algebra)
  • Algebra
  • Multiplizität (Mathematik)
  • Stellenalgebra
Label
Algèbre locale, multiplicités : cours au Collège de France, 1957-1958, Jean-Pierre Serre ; rédigé par Pierre Gabriel
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages B-1-B-4)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
277129322
Edition
2. éd.
Extent
1 online resource (1 volume (various pagings)).
Form of item
online
Isbn
9783540371236
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
(OCoLC)277129322
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Algèbre locale, multiplicités : cours au Collège de France, 1957-1958, Jean-Pierre Serre ; rédigé par Pierre Gabriel
Publication
Bibliography note
Includes bibliographical references (pages B-1-B-4)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
277129322
Edition
2. éd.
Extent
1 online resource (1 volume (various pagings)).
Form of item
online
Isbn
9783540371236
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
(OCoLC)277129322
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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