On free group algebras in division rings with uncountable center

DOI10.1090/S0002-9939-96-03032-8zbMath0844.16012OpenAlexW1562981069MaRDI QIDQ4875513

Mazi Shirvani, Jairo Z. Goncalves

Publication date: 29 August 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03032-8

zbMATH Keywords

group algebrasskew polynomial ringsfree groupsfree subalgebrasinfinite dimensional division algebrasdivision algebras of fractions

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Group rings (16S34) Infinite-dimensional and general division rings (16K40)

Related Items (14)

Free algebras and free groups in Ore extensions and free group algebras in division rings. ⋮ A Survey on Free Objects in Division Rings and in Division Rings with an Involution ⋮ Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras ⋮ FREE GROUP ALGEBRAS IN DIVISION RINGS ⋮ Free algebras in division rings with an involution ⋮ Existence of Nonabelian Free Subgroups in the Maximal Subgroups of GL_n(D) ⋮ Obtaining free group algebras in division rings generated by group graded rings ⋮ Computing the inversion height of some embeddings of the free algebra and the free group algebra. ⋮ Free group algebras in division rings with valuation I ⋮ On free group algebras in division rings with uncountable center ⋮ Free Group Algebras in Division Rings with Valuation II ⋮ Free \(^*\)-subalgebras of C\(^*\)-algebras ⋮ Free subgroups in maximal subgroups of \(\text{GL}_1(D)\) ⋮ Free Structures in Division Rings

Cites Work

• On group rings of nilpotent groups
• On subnormal subgroups of skew fields
• On normal subgroups of multiplicative group of skew fields generated by a polycyclic-by-finite group
• Words Periodic over the Center of a Division Ring
• On subalgebras of the first Weyl skewfield
• The skew field of fractions of the weyl algebra contains a free noncommutative subalgebra
• On Subgroups of the Multiplicative Group of Skew Fields
• Free Subgroups of Normal Subgroups of the Multiplicative Group of Skew Fields
• On Free Subalgebras of Certain Division Algebras
• On free group algebras in division rings with uncountable center
• Free Subalgebras of Enveloping Fields

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