On free subalgebras of certain division algebras
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- by Martin Lorenz
- Proc. Amer. Math. Soc. 98 (1986), 401-405
- DOI: https://doi.org/10.1090/S0002-9939-1986-0857930-9
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Abstract:
Using ideas of Makar-Limanov, we construct noncommutative free subalgebras in certain division algebras which arise as fields of fractions of skew polynomial rings. Our result applies in particular to the Weyl division algebra ${D_1}$.References
- L. Makar-Limanov, The skew field of fractions of the Weyl algebra contains a free noncommutative subalgebra, Comm. Algebra 11 (1983), no. 17, 2003–2006. MR 709019, DOI 10.1080/00927878308822945 —, On group rings of nilpotent groups, preprint.
- Martin Lorenz, Group rings and division rings, Methods in ring theory (Antwerp, 1983) NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci., vol. 129, Reidel, Dordrecht, 1984, pp. 265–280. MR 770597
Bibliographic Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 401-405
- MSC: Primary 16A39; Secondary 16A05, 16A06, 16A27
- DOI: https://doi.org/10.1090/S0002-9939-1986-0857930-9
- MathSciNet review: 857930