Introduction To Algebraic K Theory Am 72 Volume 72 PDF Download
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| Author | : John Willard Milnor |
| Publisher | : Princeton University Press |
| Total Pages | : 204 |
| Release | : 1971 |
| Genre | : Mathematics |
| ISBN | : 9780691081014 |
Download Introduction to Algebraic K-theory Book in PDF, ePub and Kindle
Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ∧ an abelian group K0∧ or K1∧ respectively. Professor Milnor sets out, in the present work, to define and study an analogous functor K2, also from associative rings to abelian groups. Just as functors K0 and K1 are important to geometric topologists, K2 is now considered to have similar topological applications. The exposition includes, besides K-theory, a considerable amount of related arithmetic.
| Author | : Charles A. Weibel |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 634 |
| Release | : 2013-06-13 |
| Genre | : Mathematics |
| ISBN | : 0821891324 |
Download The $K$-book Book in PDF, ePub and Kindle
Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebr
| Author | : John Milnor |
| Publisher | : Princeton University Press |
| Total Pages | : 200 |
| Release | : 2016-03-02 |
| Genre | : Mathematics |
| ISBN | : 140088179X |
Download Introduction to Algebraic K-Theory. (AM-72), Volume 72 Book in PDF, ePub and Kindle
Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ∧ an abelian group K0∧ or K1∧ respectively. Professor Milnor sets out, in the present work, to define and study an analogous functor K2, also from associative rings to abelian groups. Just as functors K0 and K1 are important to geometric topologists, K2 is now considered to have similar topological applications. The exposition includes, besides K-theory, a considerable amount of related arithmetic.
| Author | : Richard G. Swan |
| Publisher | : Springer |
| Total Pages | : 269 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540359176 |
Download Algebraic K-Theory Book in PDF, ePub and Kindle
From the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in 1967. They also include some material from an earlier course on abelian categories, elaborating certain parts of Gabriel's thesis. The results on K-theory are mostly of a very general nature."
| Author | : John R. Silvester |
| Publisher | : Chapman & Hall |
| Total Pages | : 274 |
| Release | : 1981 |
| Genre | : Mathematics |
| ISBN | : |
Download Introduction to Algebraic K-theory Book in PDF, ePub and Kindle
| Author | : Bruce A. Magurn |
| Publisher | : Cambridge University Press |
| Total Pages | : 702 |
| Release | : 2002-05-20 |
| Genre | : Mathematics |
| ISBN | : 9780521800785 |
Download An Algebraic Introduction to K-Theory Book in PDF, ePub and Kindle
An introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra.
| Author | : Hvedri Inassaridze |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 444 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 9401585695 |
Download Algebraic K-Theory Book in PDF, ePub and Kindle
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.
| Author | : Jonathan Rosenberg |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 404 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461243149 |
Download Algebraic K-Theory and Its Applications Book in PDF, ePub and Kindle
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.
| Author | : Emilio Lluis-Puebla |
| Publisher | : Springer |
| Total Pages | : 172 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540466398 |
Download Higher Algebraic K-Theory: An Overview Book in PDF, ePub and Kindle
This book is a general introduction to Higher Algebraic K-groups of rings and algebraic varieties, which were first defined by Quillen at the beginning of the 70's. These K-groups happen to be useful in many different fields, including topology, algebraic geometry, algebra and number theory. The goal of this volume is to provide graduate students, teachers and researchers with basic definitions, concepts and results, and to give a sampling of current directions of research. Written by five specialists of different parts of the subject, each set of lectures reflects the particular perspective ofits author. As such, this volume can serve as a primer (if not as a technical basic textbook) for mathematicians from many different fields of interest.
| Author | : Daniel Scott Farley |
| Publisher | : Springer |
| Total Pages | : 153 |
| Release | : 2014-08-27 |
| Genre | : Mathematics |
| ISBN | : 3319081535 |
Download Algebraic K-theory of Crystallographic Groups Book in PDF, ePub and Kindle
The Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory. In cases where the conjecture is known to be a theorem, it gives a powerful method for computing the lower algebraic K-theory of a group. This book contains a computation of the lower algebraic K-theory of the split three-dimensional crystallographic groups, a geometrically important class of three-dimensional crystallographic group, representing a third of the total number. The book leads the reader through all aspects of the calculation. The first chapters describe the split crystallographic groups and their classifying spaces. Later chapters assemble the techniques that are needed to apply the isomorphism theorem. The result is a useful starting point for researchers who are interested in the computational side of the Farrell-Jones isomorphism conjecture, and a contribution to the growing literature in the field.
