Bibliographic Information

Algebraic K-theory

R.G. Swan

(Lecture notes in mathematics, 76)

Springer-Verlag, 1968

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Description and Table of Contents

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."

Table of 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.

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Details

  • NCID
    BA1234817X
  • ISBN
    • 9783540042457
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin ; New York
  • Pages/Volumes
    262 p.
  • Size
    28 cm
  • Classification
  • Parent Bibliography ID
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