skip to content
Algebraic K-theory Preview this item
ClosePreview this item
Checking...

Algebraic K-theory

Author: Richard G Swan
Publisher: Berlin ; New York : Springer, 1968.
Series: Lecture notes in mathematics (Springer-Verlag), 76.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
From the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in 1967. They also include some material from an earlier course on abelian categories, elaborating certain parts of Gabriel's thesis. The results on K-theory are mostly of a very general nature."
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Swan, Richard G.
Algebraic K-theory.
Berlin, Heidelberg, New York, Springer, 1968
(DLC) 68059063
(OCoLC)525573
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Richard G Swan
ISBN: 9783540359173 3540359176
OCLC Number: 277092835
Description: 1 online resource (262 pages).
Contents: Category Theory --
Quotient categories --
Definition of KO(A) and some examples --
Krull-Schmidt theorems and applications --
Definition of G(R) and examples --
The connection between KO(R) and GO(R) --
Localization and relation between GO(R) and GO(RS) --
KO of graded rings --
Spec (R) and H(R) --
Picard group and the determinant --
Basic topological remarks --
Chain complexes and the nilpotence of of --
Serre's theorem --
Cancerllation theorems --
K1(A) --
K2(R) --
The exact sequence of Ki's --
Further results on K1 and K0 --
Relations between algebraic and topological K theory.
Series Title: Lecture notes in mathematics (Springer-Verlag), 76.
Responsibility: R.G. Swan.

Abstract:

From the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in 1967. They also include some material from an earlier course on abelian  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/277092835> # Algebraic K-theory
    a schema:Book, schema:MediaObject, schema:CreativeWork ;
   library:oclcnum "277092835" ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/1530835#Place/berlin> ; # Berlin
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
   schema:about <http://id.worldcat.org/fast/849000> ; # Categories (Mathematics)
   schema:about <http://experiment.worldcat.org/entity/work/data/1530835#Topic/k_theorie> ; # K-théorie
   schema:about <http://dewey.info/class/512.89/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/1530835#Topic/categories_mathematiques> ; # Catégories (Mathématiques)
   schema:about <http://id.worldcat.org/fast/985541> ; # K-theory
   schema:bookFormat schema:EBook ;
   schema:creator <http://viaf.org/viaf/15379805> ; # Richard G. Swan
   schema:datePublished "1968" ;
   schema:description "From the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in 1967. They also include some material from an earlier course on abelian categories, elaborating certain parts of Gabriel's thesis. The results on K-theory are mostly of a very general nature.""@en ;
   schema:description "Category Theory -- Quotient categories -- Definition of KO(A) and some examples -- Krull-Schmidt theorems and applications -- Definition of G(R) and examples -- The connection between KO(R) and GO(R) -- Localization and relation between GO(R) and GO(RS) -- KO of graded rings -- Spec (R) and H(R) -- Picard group and the determinant -- Basic topological remarks -- Chain complexes and the nilpotence of of -- Serre's theorem -- Cancerllation theorems -- K1(A) -- K2(R) -- The exact sequence of Ki's -- Further results on K1 and K0 -- Relations between algebraic and topological K theory."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/1530835> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/1530835#Series/lecture_notes_in_mathematics_springer_verlag> ; # Lecture notes in mathematics (Springer-Verlag) ;
   schema:isPartOf <http://worldcat.org/issn/0075-8434> ; # Lecture notes in mathematics,
   schema:isSimilarTo <http://www.worldcat.org/oclc/525573> ;
   schema:name "Algebraic K-theory"@en ;
   schema:productID "277092835" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/277092835#PublicationEvent/berlin_new_york_springer_1968> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/1530835#Agent/springer> ; # Springer
   schema:url <http://link.springer.com/openurl?genre=book&isbn=978-3-540-04245-7> ;
   schema:url <http://www.springerlink.com/openurl.asp?genre=issue&issn=0075-8434&volume=76> ;
   schema:url <http://books.google.com/books?id=Sj0ZAQAAIAAJ> ;
   schema:url <https://link.springer.com/openurl?genre=book&isbn=978-3-662-16819-6> ;
   schema:url <https://login.proxy.lib.strath.ac.uk/login?url=http://link.springer.com/10.1007/BFb0080281> ;
   schema:url <http://link.springer.com/10.1007/BFb0080281> ;
   schema:url <http://rd.springer.com/openurl?genre=book&isbn=978-3-540-04245-7> ;
   schema:url <http://springerlink.com/content/w62qj8228252/?p=ea4786f749ae4d7f8952be4273f7c281&pi=0> ;
   schema:url <http://rave.ohiolink.edu/ebooks/ebc/3540042458> ;
   schema:url <http://dx.doi.org/10.1007/BFb0080281> ;
   schema:workExample <http://worldcat.org/isbn/9783540359173> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/277092835> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/1530835#Series/lecture_notes_in_mathematics_springer_verlag> # Lecture notes in mathematics (Springer-Verlag) ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/277092835> ; # Algebraic K-theory
   schema:name "Lecture notes in mathematics (Springer-Verlag) ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/1530835#Topic/categories_mathematiques> # Catégories (Mathématiques)
    a schema:Intangible ;
   schema:name "Catégories (Mathématiques)"@fr ;
    .

<http://id.worldcat.org/fast/849000> # Categories (Mathematics)
    a schema:Intangible ;
   schema:name "Categories (Mathematics)"@en ;
    .

<http://id.worldcat.org/fast/985541> # K-theory
    a schema:Intangible ;
   schema:name "K-theory"@en ;
    .

<http://link.springer.com/10.1007/BFb0080281>
   rdfs:comment "from Springer" ;
   rdfs:comment "(Unlimited Concurrent Users)" ;
    .

<http://link.springer.com/openurl?genre=book&isbn=978-3-540-04245-7>
   rdfs:comment "View online via SpringerLINK Lecture Notes in Mathematics Archive (Through 1996) [ANU staff and students only]" ;
    .

<http://viaf.org/viaf/15379805> # Richard G. Swan
    a schema:Person ;
   schema:familyName "Swan" ;
   schema:givenName "Richard G." ;
   schema:name "Richard G. Swan" ;
    .

<http://worldcat.org/isbn/9783540359173>
    a schema:ProductModel ;
   schema:isbn "3540359176" ;
   schema:isbn "9783540359173" ;
    .

<http://worldcat.org/issn/0075-8434> # Lecture notes in mathematics,
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/277092835> ; # Algebraic K-theory
   schema:issn "0075-8434" ;
   schema:name "Lecture notes in mathematics," ;
    .

<http://www.worldcat.org/oclc/525573>
    a schema:CreativeWork ;
   rdfs:label "Algebraic K-theory." ;
   schema:description "Print version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/277092835> ; # Algebraic K-theory
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.