.--K*(K, Z/pV)-+ W* A, M) Sz/pv (pV) 1-Ww AM) S/PV)>.. which is exact in degrees> 1. Here
A= OK is the valuation ring and W WA M) is the de Rham-Witt complex of A with log poles at …

Introduction The Milnor ring K* F= 1l KF of a field F was introduced n> O n (but not so
christened) by Milnor in [BJ. He showed there how a discrete valuation v on F with residue …

In this paper we study the higher Quillen-K-groups of algebraically closed fields, local fields
and real numbers. When k is an algebraically closed field we show that & (k) is divisible, its …

For a field F with a p-Henselian valuation v, direct sum decompositions will be proved for
Milnor's K-theory mod n (na power of the prime p), for the Galois cohomology of F with Z n …

THE K-THEORY OF STRICT HENSEL LOCAL RINGS AND A THEOREM OF SUSLIN Henri A.
GILLET Robert W. THOMASON Introduction In his remarka Page 1 Journal of Pure and Applied …

The first section of this paper defines and studies a graded ring K. F associated to any field
F. By definition, K~ F is the target group of the universal n-linear function from F~ x...• F~ to …

Let p be a rational prime and L be a Zap-extension of a number field k, that is to say a Galois
extension with E= G (L/k) isomorphic with a product of d copies of the additive group of p …

From the very beginning of the theory of formally real fields it was known that the orders of
such a field are related with valuation rings. It was Baer [? I who for the first time established …

Let F be an algebraically closed field. It was conjectured by Lichtenbaum (see [1],[5]) that Ki
(F) is divisible if i> l, the torsion being zero if i is even and isomorphic to W~,)(where W is the …

The object of this paper is to investigate quadratic forms of the type CJI=(1, a,)@...@(1, a,),
which we shall call n-fold Pfister forms. These forms were first studied systematically by …