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Algebraic K-Theory : Mathematics and Its Applications - Hvedri Inassaridze

Algebraic K-Theory

Mathematics and Its Applications

Hardcover Published: 30th November 1994
ISBN: 9780792331858
Number Of Pages: 440

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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.

Introductionp. 1
Classical Algebraic K-functorsp. 3
Higher K-functorsp. 43
Properties of algebraic K-functorsp. 163
Relations between algebraic K-theoriesp. 253
Relation between algebraic and topological K-theoriesp. 289
The problem of Serre for polynomial and monoid algebrasp. 361
Connection with cyclic homologyp. 423
Referencesp. 429
Indexp. 433
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792331858
ISBN-10: 0792331850
Series: Mathematics and Its Applications
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 440
Published: 30th November 1994
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 2.54
Weight (kg): 0.81

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