scientific article; zbMATH DE number 1487712

zbMath0978.16019MaRDI QIDQ4494221

A. I. Lichtman

Publication date: 23 January 2002

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zbMATH Keywords

valuationsLie algebrasgroup ringsfiltrationsintegral domainsOre domainsfree algebrasLie ringsskew fieldsuniversal skew fields of fractionsuniversal associative envelopesresidually torsion-free nilpotent groupsMalcev-Neumann constructionlocal subrings

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Nilpotent groups (20F18) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Associated Lie structures for groups (20F40) Universal enveloping algebras of Lie algebras (16S30) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (2)

On universal fields of fractions for free algebras ⋮ Valuation methods in group rings and in skew fields. I

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