Algebraic K-Theory
Seiten
1968
|
1968
Springer Berlin (Verlag)
978-3-540-04245-7 (ISBN)
Springer Berlin (Verlag)
978-3-540-04245-7 (ISBN)
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."
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.
| Erscheint lt. Verlag | 16.12.1968 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | IV, 264 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 415 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Mathematik / Informatik ► Mathematik ► Algebra | |
| Schlagworte | Algebra • Algebraic • category theory • K-theory • Theorem |
| ISBN-10 | 3-540-04245-8 / 3540042458 |
| ISBN-13 | 978-3-540-04245-7 / 9783540042457 |
| Zustand | Neuware |
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