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Torsion-free Abelian Groups, Valuations and Twisted Group Rings

Published online by Cambridge University Press:  20 November 2018

Gervasio G. Bastos  and
T. M. Viswanathan
Gervasio G. Bastos
Affiliation:
Departamento de Matemática Universidade Federal do Ceará 60.000 Fortaleza, Brasíl University of North Carolina at Charlotte, CharlotteNC 28223
T. M. Viswanathan
Affiliation:
Imecc, Departamento de Matemática, Universidade Estadual de Campinas13.081 Campinas, S. P., Brasíl University of North Carolina at Charlotte, CharlotteNC 28223
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Abstract

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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.

Keywords

13A1820K2013G05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 2 , 01 June 1988 , pp. 139 - 146
Copyright
Copyright © Canadian Mathematical Society 1988

References

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