Free group algebras in the field of fractions of differential polynomial rings and enveloping algebras

DOI10.1006/jabr.1997.7283zbMath0932.16029OpenAlexW2002415768MaRDI QIDQ1270954

Mazi Shirvani, Jairo Z. Goncalves

Publication date: 14 December 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7283

zbMATH Keywords

enveloping algebrasdivision ringsdifferential polynomial ringsfree group algebrasfree rings

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Ordinary and skew polynomial rings and semigroup rings (16S36) Group rings (16S34) Infinite-dimensional and general division rings (16K40) Universal enveloping algebras of Lie algebras (16S30)

Related Items (6)

A Survey on Free Objects in Division Rings and in Division Rings with an Involution ⋮ Free algebras in division rings with an involution ⋮ Free group algebras in division rings with valuation I ⋮ Enveloping fields of Witt type algebras ⋮ Free Structures in Division Rings ⋮ Free products of units in algebras. I: Quaternion algebras

Cites Work

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• Matrix rings and linear groups over a field of fractions of enveloping algebras and group rings. I
• On matrix rings and linear groups over fields of fractions of group rings and enveloping algebras. II
• On normal subgroups of multiplicative group of skew fields generated by a polycyclic-by-finite group
• Primitive ideals in enveloping algebras
• Valuation methods in division rings
• On the Embedding of Rings in Skew Fields
• On subalgebras of the first Weyl skewfield
• The skew field of fractions of the weyl algebra contains a free noncommutative subalgebra
• Free subgroups of division algebras
• Free Subalgebras of Enveloping Fields
• A generalization of a theorem on linear differential equations

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