Free subalgebras of enveloping fields-Reference-Cited by-同舟云学术

Free subalgebras of enveloping fields

Published:1991 Issue:2 Volume:111 Page:315-322
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Makar-Limanov L.,Malcolmson P.

Abstract

Let K K be a field of characteristic zero and L L a nonabelian Lie algebra over K K . We show that the skew field of fractions of the enveloping algebra of L L over K K contains a free noncommutative K K -algebra when L L is solvable or finite-dimensional.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1991-111-02/S0002-9939-1991-1041015-7/S0002-9939-1991-1041015-7.pdf

Reference7 articles.

1. Oresche Teilmengen in Einhüllenden Algebren;Borho, Walter;Math. Ann.,1975

2. Monographs and Textbooks in Pure and Applied Mathematics;Bremner, M. R.,1985

3. Interscience Tracts in Pure and Applied Mathematics, No. 10;Jacobson, Nathan,1962

4. Matrix rings and linear groups over a field of fractions of enveloping algebras and group rings. I;Lichtman, A. I.;J. Algebra,1984

5. On free subalgebras of certain division algebras;Lorenz, Martin;Proc. Amer. Math. Soc.,1986

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On free subalgebras of varieties;Proceedings of the Edinburgh Mathematical Society;2021-11-22

2. Free group algebras in division rings with valuation I;Journal of Algebra;2019-08

3. Obtaining free group algebras in division rings generated by group graded rings;Journal of Algebra and Its Applications;2018-10

4. Free algebras in division rings with an involution;Journal of Algebra;2018-09

5. Free algebras and free groups in Ore extensions and free group algebras in division rings;Journal of Algebra;2016-06