Algebraic K-Theory

Häftad, Engelska, 1968

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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."

Produktinformation

Utgivningsdatum1968-12-16
Mått155 x 235 x 15 mm
Vikt417 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor264
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540042457

Tillhör följande kategorier

Algebra inom Naturvetenskap och teknik

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.