E-Book, Englisch, Band 76, 264 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Swan Algebraic K-Theory
1968
ISBN: 978-3-540-35917-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 76, 264 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-35917-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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."
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
