*This book, first published in 2000, is a concise introduction at graduate level to ring theory, module theory and number theory.*

# An Introduction to Rings and Modules

# Introduction to Foliations and Lie Groupoids

# Lectures in Logic and Set Theory Volume 1 Mathematical Logic

# Mathematical Reviews

*Then there is a natural equivalence of categories between the category of locally *

free crystals of finite rank on Cris ( X / W ( S ) ) and the category of locally free W .

( x ) - modules of finite rank with an integrable de Rham - Witt connection

satisfying a certain nilpotence condition . ... Those who want to enter into the

realm of algebraic K - theory , with a view to arithmetic algebraic geometry , will

find in this ...

# Galois Module Structure

# Geometric and Cohomological Group Theory

*8 Proofs IV: Connective algebraic K-theory of categories of controlled simplicial *

modules 227 9 Applications 239 A A simplicial mapping telescope 242. 1.

Introduction. Controlled algebra is a powerful tool to prove statements about the

algebraic K-theory of a ring R. While early on it was ... As cG(X; R) suffers from

this, we define a full subcategory point of view of like finite finite objects CW-

complexes.

# Topics in Algebraic and Topological K Theory

*(c) Let R be a ring and C(R) be the category of (unbounded) complexes over R.
Its objects are families of R-modules ... structures of derived categories is one of
the main objectives of dg-category theory. ... This last point of view is a bit less
precise as the original notion of localizations, as the object S−1C satisfies a ...*

# Algebraic K Theory

# K Theory

# Representations and Cohomology Volume 2 Cohomology of Groups and Modules

# Sets Logic and Categories

# K theory of Forms

# Reviews in K theory 1940 84

*expected form of a long exact sequence D10 QQ- AND S - CONSTRUCTION ;
ALGEBRAIC K - THEORY OF TOPOLOGICAL SPACES -K ( C ) -K ( A ) OK ( B ) -K
( R ) -K ;-( C ) -. ... For each type of generalized free product situation , certain
diagram categories of modules are introduced . For example , one fundamental
concept is that of a Mayer - Vietoris presentation of an R - module M : If Ma , Mg ,
and ...*

# The British National Bibliography

# Representation Theory

# Lectures on Topics in Algebraic K theory

# Abstracts of Papers Presented to the American Mathematical Society

*Denote by B the category of all bounded weight g - modules , i.e. those which are *

direct sum of their weight spaces and ... ( Received September 19 , 2005 ) 19 K -

theory 1012-19-136 Jacques Distler ... of view is particularly powerful when the

Calabi - Yaus are not simply - connected ( and hence , there is torsion in the K ...