Algebraic K-Theory
by Olivier Isely
Publisher: EPFL 2006
Number of pages: 45
Description:
Algebraic K-theory is a branch of algebra dealing with linear algebra over a general ring A instead of over a field. Algebraic K-theory plays an important role in many subjects, especially number theory, algebraic topology and algebraic geometry. In this document, I will briefly introduce the definitions of the K-theory groups.
Download or read it online for free here:
Download link
(270KB, PDF)
Similar books
![Book cover: An Introduction to K-theory and Cyclic Cohomology](images/5027.jpg)
by Jacek Brodzki - arXiv
An exposition of K-theory and cyclic cohomology. It begins with examples of various situations in which the K-functor of Grothendieck appears naturally, including the topological and algebraic K-theory, K-theory of C*-algebras, and K-homology.
(10093 views)
![Book cover: 18 Lectures on K-Theory](images/7962.jpg)
by Ioannis P. Zois - arXiv
We present introductory lectures on K-Theory covering its basic three branches, namely topological, analytic and Higher Algebraic K-Theory. The skeleton of these notes was provided by the author's notes from a graduate summer school on K-Theory.
(9504 views)
![Book cover: Algebraic K-Theory](images/10072.jpg)
by Hyman Bass - W. A. Benjamin
The algebraic K-theory presented here is concerned with the structure theory of projective modules, and of their automorphism groups. Thus, it is a generalization off the theorem asserting the existence and uniqueness of bases for vector spaces ...
(7435 views)
![Book cover: An Introduction to K-theory](images/5032.jpg)
by Eric M. Friedlander
The author's objective was to provide participants of the Algebraic K-theory Summer School an overview of various aspects of algebraic K-theory, with the intention of making these lectures accessible with little or no prior knowledge of the subject.
(11586 views)