Algebraic 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...
Đã lưu trong:
| Tác giả chính: | |
|---|---|
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Loạt: | Lecture notes in mathematics
76 |
| Những chủ đề: | |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Algebraic K-theory, R. G. Swan,..., 1968, Berlin, Springer-Verlag, 1 vol. (262 p.), Lecture notes in mathematics, 978-3-540-04245-7 • Algebraic K-Theory, Texte imprimé, 9783662168196 |
Mục lục:
- 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.