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Algebraic K Theory And Its Applications


Algebraic K Theory And Its Applications
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Algebraic K Theory And Its Applications


Algebraic K Theory And Its Applications
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Author : Jonathan Rosenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-12-22

Algebraic K Theory And Its Applications written by Jonathan Rosenberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-12-22 with Mathematics categories.


Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This text is designed to help graduate students in other areas learn the basics of K-Theory and get a feel for its many applications. Topics include algebraic topology, homological algebra, algebraic number theory, and an introduction to cyclic homology and its interrelationship with K-Theory.



Algebraic K Theory And Its Applications Proceedings Of The School


Algebraic K Theory And Its Applications Proceedings Of The School
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Author : Hyman Bass
language : en
Publisher: World Scientific
Release Date : 1999-03-12

Algebraic K Theory And Its Applications Proceedings Of The School written by Hyman Bass and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-03-12 with categories.


The Proceedings volume is divided into two parts. The first part consists of lectures given during the first two weeks devoted to a workshop featuring state-of-the-art expositions on 'Overview of Algebraic K-theory' including various constructions, examples, and illustrations from algebra, number theory, algebraic topology, and algebraic/differential geometry; as well as on more concentrated topics involving connections of K-theory with Galois, etale, cyclic, and motivic (co)homologies; values of zeta functions, and Arithmetics of Chow groups and zero cycles. The second part consists of research papers arising from the symposium lectures in the third week.



Algebraic K Theory And Its Applications


Algebraic K Theory And Its Applications
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Author : Jonathan Rosenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Algebraic K Theory And Its Applications written by Jonathan Rosenberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Algebraic K-Theory plays an important role in many areas of modern mathematics: most notably algebraic topology, number theory, and algebraic geometry, but even including operator theory. The broad range of these topics has tended to give the subject an aura of inapproachability. This book, based on a course at the University of Maryland in the fall of 1990, is intended to enable graduate students or mathematicians working in other areas not only to learn the basics of algebraic K-Theory, but also to get a feel for its many applications. The required prerequisites are only the standard one-year graduate algebra course and the standard introductory graduate course on algebraic and geometric topology. Many topics from algebraic topology, homological algebra, and algebraic number theory are developed as needed. The final chapter gives a concise introduction to cyclic homology and its interrelationship with K-Theory.



Algebraic K Theory


Algebraic K Theory
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Author : Hvedri Inassaridze
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Algebraic K Theory written by Hvedri Inassaridze and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.


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.



Algebraic K Theory And Its Applications


Algebraic K Theory And Its Applications
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Author : Jonathan Rosenberg
language : en
Publisher:
Release Date : 1994-06-01

Algebraic K Theory And Its Applications written by Jonathan Rosenberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-06-01 with categories.




Algebraic K Theory And Its Geometric Applications


Algebraic K Theory And Its Geometric Applications
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Author : Robert M.F. Moss
language : en
Publisher: Springer
Release Date : 2006-11-15

Algebraic K Theory And Its Geometric Applications written by Robert M.F. Moss and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




Valuation Theory And Its Applications


Valuation Theory And Its Applications
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Author : Franz-Viktor Kuhlmann
language : en
Publisher: American Mathematical Soc.
Release Date : 2002-01-01

Valuation Theory And Its Applications written by Franz-Viktor Kuhlmann and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Mathematics categories.


This book is the first of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatchewan (Saskatoon, SK, Canada). Valuation theory arose in the early part of the twentieth century in connection with number theory and has many important applications to geometry and analysis: the classical application to the study of algebraic curves and to Dedekind and Prufer domains; the close connection to the famousresolution of the singularities problem; the study of the absolute Galois group of a field; the connection between ordering, valuations, and quadratic forms over a formally real field; the application to real algebraic geometry; the study of noncommutative rings; etc. The special feature of this book isits focus on current applications of valuation theory to this broad range of topics. Also included is a paper on the history of valuation theory. The book is suitable for graduate students and research mathematicians working in algebra, algebraic geometry, number theory, and mathematical logic.



Algebraic K Theory And Its Applications


Algebraic K Theory And Its Applications
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Author : R. M. F. Moss
language : en
Publisher:
Release Date : 1969

Algebraic K Theory And Its Applications written by R. M. F. Moss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.




Representation Theory And Higher Algebraic K Theory


Representation Theory And Higher Algebraic K Theory
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Author : Aderemi Kuku
language : en
Publisher: CRC Press
Release Date : 2016-04-19

Representation Theory And Higher Algebraic K Theory written by Aderemi Kuku and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.


Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations. Thus, this book makes computations of higher K-theory of grou



School On Algebraic K Theory And Its Applications


School On Algebraic K Theory And Its Applications
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Author : Max Karoubi
language : en
Publisher:
Release Date : 2003

School On Algebraic K Theory And Its Applications written by Max Karoubi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Homology theory categories.