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
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)
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
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- 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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