About this product

Product Identifiers

PublisherSpringer Netherlands

ISBN-100792331850

ISBN-139780792331858

eBay Product ID (ePID)776547

Product Key Features

Number of PagesVIII, 440 Pages

LanguageEnglish

Publication NameAlgebraic K-Theory

SubjectAlgebra / Abstract, Topology, Geometry / Algebraic

Publication Year1994

TypeTextbook

AuthorHvedri Inassaridze

Subject AreaMathematics

SeriesMathematics and Its Applications Ser.

FormatHardcover

Dimensions

Item Weight62.8 Oz

Item Length9.2 in

Item Width6.1 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN94-035621

Dewey Edition20

Series Volume Number311

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal512/.55

Table Of ContentI. 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.

SynopsisAlgebraic 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., 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.

LC Classification NumberQA247-247.45