Algebraic K-theory encodes important invariants for several mathematical disciplines,
spanning from geometric topology and functional analysis to number theory and algebraic …

This book's aim is to make accessible techniques for studying Whitehead groups of finite
groups, as well as a variety of related topics such as induction theory and p-adic logarithms …

L'un des moyens efficaces pour calculer les groupes de K-theorie algebrique est la suite
exacte de Mayer-Vietoris [M]. On sait [Sw] que celle-ci n'est valable qu'en basses …

Consider the category which has as objects pairs (R, a) consisting of a ring R and a two-
sided ideal a of R; a morphism f:(R, a)+(R', a') is just a ring homomorphism f: R+ R'satisfying f …

We propose a definition of improved Milnor K-groups of local rings with finite residue fields,
such that the improved Milnor K-sheaf in the Zariski topology is a universal extension of the …

In this paper all rings will be assumed to be commutative and with identity element. A ring A
is said to be K.-regular if for all r one has K,(A)~ K,(A [Ta,..., T~]). One of our main results is …

This paper discusses strong shift equivalence and counterexamples to the long standing
Shift Equivalence Problem in symbolic dynamics. We also discuss how strong shift …

Symbolic dynamics originated as a tool for analyzing dynamical systems and flows by
discretizing space as well as time. The development of information theory gave impetus to …

The analogy between algebraic K-theory and cyclic homology is used to build a program
aiming at understanding the algebraic K-theory of fields and the periodicity phenomena in …

This paper is the first part of a systematic survey on the structure of classical groups over
general rings. We intend to cover various proofs of the main structure theorems, commutator …