Algebraic K-Theory - Hvedri Inassaridze

Algebraic K-Theory

Buch | Softcover
440 Seiten
2010 | Softcover reprint of hardcover 1st ed. 1995
Springer (Verlag)
978-90-481-4479-2 (ISBN)
160,49 inkl. MwSt
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
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