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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Free subalgebras of enveloping fields


Authors: L. Makar-Limanov and P. Malcolmson
Journal: Proc. Amer. Math. Soc. 111 (1991), 315-322
MSC: Primary 16K40; Secondary 16D40, 16S30, 17B35
DOI: https://doi.org/10.1090/S0002-9939-1991-1041015-7
MathSciNet review: 1041015
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Abstract: Let $ K$ be a field of characteristic zero and $ L$ a nonabelian Lie algebra over $ K$. We show that the skew field of fractions of the enveloping algebra of $ L$ over $ K$ contains a free noncommutative $ K$-algebra when $ L$ is solvable or finite-dimensional.


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DOI: https://doi.org/10.1090/S0002-9939-1991-1041015-7
Article copyright: © Copyright 1991 American Mathematical Society