Richard G. Swan

Algebraic K-Theory

• Broschiertes Buch

Produktbeschreibung

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."

Produktdetails

• Lecture Notes in Mathematics 76
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-04245-7
• 1968.
• Seitenzahl: 272
• Erscheinungstermin: 16. Dezember 1968
• Englisch
• Abmessung: 235mm x 155mm x 15mm
• Gewicht: 415g
• ISBN-13: 9783540042457
• ISBN-10: 3540042458
• Artikelnr.: 23523653

Inhaltsangabe

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.