Geodesic
Torsion-free Abelian Groups, Valuations and Twisted Group Rings
Canadian mathematical bulletin, Tome 31 (1988) no. 2, pp. 139-146

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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.
DOI : 10.4153/CMB-1988-021-x
Mots-clés : 13A18, 20K20, 13G05 
Bastos, Gervasio G.; Viswanathan, T. M. Torsion-free Abelian Groups, Valuations and Twisted Group Rings. Canadian mathematical bulletin, Tome 31 (1988) no. 2, pp. 139-146. doi: 10.4153/CMB-1988-021-x
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     author = {Bastos, Gervasio G. and Viswanathan, T. M.},
     title = {Torsion-free {Abelian} {Groups,} {Valuations} and {Twisted} {Group} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {139--146},
     year = {1988},
     volume = {31},
     number = {2},
     doi = {10.4153/CMB-1988-021-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-021-x/}
}
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