On Embedding of Group Rings of Residually Torsion Free Nilpotent Groups into Skew Fields

DOI10.2307/2000499zbMath0615.16007OpenAlexW4240861397MaRDI QIDQ4723900

A. I. Lichtman, A. Eizenbud

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000499

zbMATH Keywords

embeddingsgroup ringresidually torsion-free nilpotent groupsfree ideal ringsfree product with amalgamationspecializationscoproduct of skew fieldsembedding into skew fieldsMal'cev-Neumann power series ring

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Division rings and semisimple Artin rings (16Kxx)

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Cites Work

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