Algebraic K-Theory

Hvedri Inassaridze (Autor)

Buch | Softcover

440 Seiten

2010 | Softcover reprint of hardcover 1st ed. 1995
Springer (Verlag)
978-90-481-4479-2 (ISBN)

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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.

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.

Erscheint lt. Verlag	15.12.2010
Reihe/Serie	Mathematics and Its Applications ; 311
Zusatzinfo	VIII, 440 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	90-481-4479-5 / 9048144795
ISBN-13	978-90-481-4479-2 / 9789048144792
Zustand	Neuware