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Algebraic K-Theory de Richard G. Swan

Algebraic K-Theory: Lecture Notes in Mathematics, cartea 76

Autor Richard G. Swan
en Limba Engleză Paperback – 16 dec 1968
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."
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Specificații

ISBN-13: 9783540042457
ISBN-10: 3540042458
Pagini: 272
Ilustrații: IV, 264 p.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.39 kg
Ediția:1968
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.