Introduction to some methods of algebraic K-theory
Author(s)
Bibliographic Information
Introduction to some methods of algebraic K-theory
（Regional conference series in mathematics, no. 20）
Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1974
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc19:512.8/am352020882468
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Note
"Expository lectures from the CBMS regional conference held at Colorado State University, August 24-28, 1973."
Bibliography: p. 67-68
Description and Table of Contents
Table of Contents
Part I. Introduction: Elementary matrices Stability $K_1(A[t])$ and unipotents Grothendieck and Whitehead groups of categories with exact sequences A Grothendieck style definition of $K_1(A)$ Homology, mapping cones, and Euler characteristics Resolution theorems Projective resolutions and regular rings Hilbert's syzygy theorem Appendix 1 Part II. Localisation, divissage and applications: The localisation sequence Categories of nilpotent endomorphisms $K_1(A[t,t^-1])$ Devissage Some calculations with the localisation sequence and $K_1$-Laurent theorem Computations with the Mayer-Vietoris sequence References.
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