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Two theorems on divisibility and torsion in Milnor K-groups. (Russian) Zbl 0611.18006

The first result is about p-divisibility of Milnor’s K-groups \(K_ n(F)\) for a field F under certain conditions. The second one gives an isomorphism of \(K_ n(F)\), where \(F=k((X))\), with \(D_ n(F)\oplus K_ n(k)\oplus K_{n-1}(k)\), where \(D_ n(F)\) is uniquely p-divisible for any prime p coprime to char(k).
Reviewer: L.Vaserstein

MSC:

18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
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