On free subalgebras of certain division algebras-Reference-Cited by-同舟云学术

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On free subalgebras of certain division algebras

Published:1986 Issue:3 Volume:98 Page:401-405
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Lorenz Martin

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 {D_1} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1986-098-03/S0002-9939-1986-0857930-9/S0002-9939-1986-0857930-9.pdf

Reference3 articles.

1. The skew field of fractions of the Weyl algebra contains a free noncommutative subalgebra;Makar-Limanov, L.;Comm. Algebra,1983

2. \bysame, On group rings of nilpotent groups, preprint.

3. Group rings and division rings;Lorenz, Martin,1984

Cited by 11 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. Free algebras in division rings with an involution;Journal of Algebra;2018-09

2. Free groups in a normal subgroup of the field of fractions of a skew polynomial ring;Communications in Algebra;2017-03-02

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

4. Free Structures in Division Rings;Communications in Algebra;2016-04-29

5. Free subalgebras of division algebras over uncountable fields;Mathematische Zeitschrift;2014-01-10

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