Free Group Algebras in Division Rings with Valuation II
DOI10.4153/S0008414X19000348zbMath1456.16014arXiv1810.12449OpenAlexW2810229013WikidataQ122113082 ScholiaQ122113082MaRDI QIDQ5138768
Publication date: 4 December 2020
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.12449
universal enveloping algebraordered groupvaluationdivision ringgraded ringring with involutionfiltered ringfree group algebra
Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Ore rings, multiplicative sets, Ore localization (16U20) Universal enveloping algebras of Lie algebras (16S30) Filtered associative rings; filtrational and graded techniques (16W70)
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Cites Work
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- Free algebras and free groups in Ore extensions and free group algebras in division rings.
- Prime divisors and noncommutative valuation theory.
- On group rings of nilpotent groups
- Matrix rings and linear groups over a field of fractions of enveloping algebras and group rings. I
- Free symmetric and unitary pairs in division rings infinite-dimensional over their centers.
- Group rings and their augmentation ideals
- Enveloping fields of Witt type algebras
- Methods of graded rings.
- On universal fields of fractions for free algebras
- Free algebras in division rings with an involution
- Valuation methods in division rings
- Free subgroups and free subsemigroups of division rings
- Free subalgebras of quotient rings of Ore extensions.
- Free symmetric and unitary pairs in the field of fractions of torsion-free nilpotent group algebras
- Free skew fields have many *-orderings.
- Free group algebras in division rings with valuation I
- Free symmetric group algebras in division rings generated by poly-orderable groups.
- On the associated graded ring of a group ring
- A Survey on Free Objects in Division Rings and in Division Rings with an Involution
- Free group algebras in Malcev–Neumann skew fields of fractions
- On the Embedding of Rings in Skew Fields
- On subalgebras of the first Weyl skewfield
- Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras
- The skew field of fractions of the weyl algebra contains a free noncommutative subalgebra
- Free Groups in Subnormal Subgroups and the Residual Nilpotence of the Group of Units of Groups Rings
- Free Subgroups of Normal Subgroups of the Multiplicative Group of Skew Fields
- Corps minimaux contenant l’algebre du groupe libre a deux generateurs
- Obtaining free group algebras in division rings generated by group graded rings
- On free group algebras in division rings with uncountable center
- Division Rings of Fractions for Group Rings
- Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
- On Ordered Division Rings
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