**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

**Lectures on Topics in Algebraic K-Theory**

by

**Hyman Bass**-

**Tata Institute of Fundamental Research**

Topics: The exact sequence of algebraic K-theory; Categories of modules and their equivalences; The Brauer group of a commutative ring; The Brauer-Wall group of graded Azumaya algebras; The structure of the Clifford Functor.

(

**6051**views)

**An Introduction to K-theory**

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.

(

**8619**views)

**An Introduction to K-theory and Cyclic Cohomology**

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.

(

**6768**views)

**Algebraic K-Theory**

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 ...

(

**4180**views)