# Subalgebras of Free Lie Algebras

@inproceedings{Shirshov2009SubalgebrasOF, title={Subalgebras of Free Lie Algebras}, author={A. I. Shirshov}, year={2009} }

In the work of A.G. Kurosh [2] it is proved that every subalgebra of a free nonassociative algebra is free. It would be natural to investigate the possibility of transferring this theorem to the most important classes of relatively free algebras whose general definition was given in the work of A.I. Malcev [3].

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