Overview

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 should be of interest to graduate students and research mathematicians who want to learn more about K-theory.

Full Product Details

Author:   Hvedri Inassaridze
Publisher:   Springer
Imprint:   Springer
Edition:   1995 ed.
Volume:   311
Dimensions:   Width: 15.60cm , Height: 2.50cm , Length: 23.40cm
Weight:   1.780kg
ISBN:  

9780792331858

ISBN 10:   0792331850
Pages:   440
Publication Date:   30 November 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I. Classical Algebraic K-functors.- II. Higher K-functors.- III. Properties of algebraic K-functors.- IV. Relations between algebraic K-theories.- V. Relation between algebraic and topological K-theories.- VI. The problem of Serre for polynomial and monoid algebras.- VII. Connection with cyclic homology.- References.

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