TY  - BOOK
AU  - Swan,R.G.
ED  - SpringerLink (Online service)
TI  - Algebraic K-theory
T2  - Lecture Notes in Mathematics,
SN  - 9783540359173
AV  - QA1-939 
U1  - 510 23
PY  - 1968///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Mathematics, general
N1  - 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
N2  - 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."
UR  - http://dx.doi.org/10.1007/BFb0080281
ER  -