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
Resource Information
The item Algèbre locale, multiplicités : cours au Collège de France, 1957-1958, Jean-Pierre Serre ; rédigé par Pierre Gabriel represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Algèbre locale, multiplicités : cours au Collège de France, 1957-1958, Jean-Pierre Serre ; rédigé par Pierre Gabriel represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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)
- Language
- fre
- Edition
- 2. éd.
- Extent
- 1 online resource (1 volume (various pagings)).
- Isbn
- 9783540371236
- 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
- Subject
-
- Algebraic fields
- Algebraic fields
- Algebraic fields
- Dimension theory (Algebra)
- Dimension theory (Algebra)
- Dimension theory (Algebra)
- Geometry, Algebraic
- Geometry, Algebraic
- Geometry, Algebraic
- Homology theory
- Homology theory
- Homology theory
- Local rings
- Local rings
- Local rings
- Lokale Multiplizität
- Modules (Algebra)
- Modules (Algebra)
- Modules (Algebra)
- Multiplizität (Mathematik)
- Stellenalgebra
- Algebra
- 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)
- 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
- 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
- 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.
Subject
- Algebraic fields
- Algebraic fields
- Algebraic fields
- Dimension theory (Algebra)
- Dimension theory (Algebra)
- Dimension theory (Algebra)
- Geometry, Algebraic
- Geometry, Algebraic
- Geometry, Algebraic
- Homology theory
- Homology theory
- Homology theory
- Local rings
- Local rings
- Local rings
- Lokale Multiplizität
- Modules (Algebra)
- Modules (Algebra)
- Modules (Algebra)
- Multiplizität (Mathematik)
- Stellenalgebra
- Algebra
Genre
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Alg%C3%A8bre-locale-multiplicit%C3%A9s--cours-au-Coll%C3%A8ge/uvcSOaJlXDg/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Alg%C3%A8bre-locale-multiplicit%C3%A9s--cours-au-Coll%C3%A8ge/uvcSOaJlXDg/">Algèbre locale, multiplicités : cours au Collège de France, 1957-1958, Jean-Pierre Serre ; rédigé par Pierre Gabriel</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
