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Algebraic K-TheoryAlgebraic K-Theory
by Hyman Bass - W. A. Benjamin , 1968
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 ...
(310 views)

Algebraic K-TheoryAlgebraic K-Theory
by Olivier Isely - EPFL , 2006
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.
(990 views)

18 Lectures on K-Theory18 Lectures on K-Theory
by Ioannis P. Zois - arXiv , 2010
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.
(1096 views)

Lectures on Topics in Algebraic K-TheoryLectures on Topics in Algebraic K-Theory
by Hyman Bass - Tata Institute of Fundamental Research , 1967
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.
(1680 views)

An Introduction to K-theoryAn Introduction to K-theory
by Eric M. Friedlander , 2007
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.
(2991 views)

An Introduction to K-theory and Cyclic CohomologyAn Introduction to K-theory and Cyclic Cohomology
by Jacek Brodzki - arXiv , 1996
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.
(2780 views)

The K-book: An introduction to algebraic K-theoryThe K-book: An introduction to algebraic K-theory
by Charles Weibel - Rutgers , 2010
Algebraic K-theory is an important part of homological algebra. Contents: Projective Modules and Vector Bundles; The Grothendieck group K_0; K_1 and K_2 of a ring; Definitions of higher K-theory; The Fundamental Theorems of higher K-theory.
(3364 views)