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:
- 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.". - ローカル注記:
- 学内専用E-BOOKS (local access only)
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