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＜E-Book＞
Algebraic K-Theory / by Hvedri Inassaridze
(Mathematics and Its Applications ; 311)

Edition	1st ed. 1995.
Publisher	(Dordrecht : Springer Netherlands : Imprint: Springer)
Year	1995
Language	English
Size	VIII, 440 p : online resource
Authors	*Inassaridze, Hvedri author SpringerLink (Online service)
Subjects	LCSH:Algebraic fields LCSH:Polynomials LCSH:Algebraic topology LCSH:Algebraic geometry LCSH:Functional analysis LCSH:Operator theory FREE:Field Theory and Polynomials FREE:Algebraic Topology FREE:Algebraic Geometry FREE:Functional Analysis FREE:Operator Theory
Notes	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 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 HTTP:URL=https://doi.org/10.1007/978-94-015-8569-9

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