Torsion-free Abelian Groups, Valuations and Twisted Group Rings

DOI10.4153/CMB-1988-021-XzbMath0656.20061OpenAlexW2907987920MaRDI QIDQ3803347

T. M. Viswanathan, Gervasio G. Bastos

Publication date: 1988

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1988-021-x

zbMATH Keywords

transcendence degreegroup ringtorsion-free abelian grouppurely transcendental extensionquotient fieldtotally ordered abelian groupcancellative torsion-free commutative monoidinfimum valuation

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Torsion-free groups, infinite rank (20K20) Semigroup rings, multiplicative semigroups of rings (20M25) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Transcendental field extensions (12F20) Rings of fractions and localization for commutative rings (13B30)

Related Items (3)

Graded-valuation domains ⋮ Valuations and group algebras ⋮ On chains of purely transcendental field extensions

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