Fields of Fractions for Group Algebras of Free Groups

DOI10.2307/1996839zbMath0307.16009OpenAlexW4233102219MaRDI QIDQ4063295

Jacques Lewin

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/1996839

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Group rings (16S34) Free nonabelian groups (20E05)

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Cites Work

• Unnamed Item
• Free ideal rings
• On Finitely Generated Subgroups of a Free Group
• Division Rings of Fractions for Group Rings
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• A Note on Zero Divisors in Group-Rings
• Involutorial Division Rings with Arbitrary Centers
• Relation Modules
• Positive One-Relator Groups
• On Ordered Division Rings