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Algebraic K-Theory

  • Hvedri¬†Inassaridze

Part of the Mathematics and Its Applications book series (MAIA, volume 311)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Hvedri Inassaridze
    Pages 1-2
  3. Hvedri Inassaridze
    Pages 3-42
  4. Hvedri Inassaridze
    Pages 43-161
  5. Hvedri Inassaridze
    Pages 163-251
  6. Hvedri Inassaridze
    Pages 253-288
  7. Hvedri Inassaridze
    Pages 423-428
  8. Back Matter
    Pages 429-440

About this book

Introduction

Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory. Methods of algebraic K-theory are actively used in algebra and related fields, achieving interesting results.
This book presents the elements of algebraic K-theory, based essentially on the fundamental works of Milnor, Swan, Bass, Quillen, Karoubi, Gersten, Loday and Waldhausen. It includes all principal algebraic K-theories, connections with topological K-theory and cyclic homology, applications to the theory of monoid and polynomial algebras and in the theory of normed algebras.
This volume will be of interest to graduate students and research mathematicians who want to learn more about K-theory.

Keywords

Algebraic K-theory Grad Grothendieck topology K-theory algebra algebraic geometry functional analysis homology number theory vector bundle

Authors and affiliations

  • Hvedri¬†Inassaridze
    • 1
  1. 1.Georgian Academy of SciencesTbilisiUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8569-9
  • Copyright Information Springer Science+Business Media Dordrecht 1995
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4479-2
  • Online ISBN 978-94-015-8569-9
  • Buy this book on publisher's site