Algebraic K-Theory

Hvedri Inassaridze (Autor)

Buch | Hardcover

440 Seiten

1994
Springer (Verlag)
978-0-7923-3185-8 (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	30.11.1994
Reihe/Serie	Mathematics and Its Applications ; 311
Reihe/Serie	Mathematics and Its Applications ; 311
Zusatzinfo	VIII, 440 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	156 x 234 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	0-7923-3185-0 / 0792331850
ISBN-13	978-0-7923-3185-8 / 9780792331858
Zustand	Neuware