Valuation methods in group rings and in skew fields. I
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Publication:1858247
DOI10.1016/S0021-8693(02)00042-XzbMath1022.16034MaRDI QIDQ1858247
Publication date: 12 February 2003
Published in: Journal of Algebra (Search for Journal in Brave)
completionsgroup ringsfiltrationsenveloping algebrasskew fieldsresidually torsion-free nilpotent groupsN-seriesMalcev-Neumann power seriesvaluation methods
Group rings (16S34) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Universal enveloping algebras of Lie algebras (16S30)
Related Items (7)
Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras ⋮ Zero divisors in group rings of wreath products of groups ⋮ On group rings of linear groups ⋮ Free subgroups in division rings generated by group rings of soluble groups ⋮ Wreath products and subgroups of division rings. ⋮ Groupoid models of \(C^*\)-algebras and the Gelfand functor ⋮ RESTRICTED LIE ALGEBRAS OF POLYCYCLIC GROUPS
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- Observations on group rings
- On Embedding of Group Rings of Residually Torsion Free Nilpotent Groups into Skew Fields
- Localization and the AR Property
- Sur les groupes nilpotents et les anneaux de Lie
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