1988
DOI: 10.4153/cmb-1988-021-x
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Torsion-free Abelian Groups, Valuations and Twisted Group Rings

Abstract: Anderson and Ohm have introduced valuations of monoid rings k[Γ] where k is a field and Γ a cancellative torsion-free commutative monoid. We study the residue class fields in question and solve a problem concerning the pure transcendence of the residue fields.

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