Algebraic K-Theory. 1st ed. 1968

種類:

電子ブック

責任表示:

by Richard G. Swan

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1968

著者名:

• Swan, Richard G.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 76

ISBN:

9783540359173 [3540359176]    

注記:

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.
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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