Abstract
We prove that every locally nilpotent derivation D of the free associative algebra over a field of characteristic 0 is triangulable, that is, admits a system of generators of A such that This is an analog of the well-known Rentschler theorem for the algebra of polynomials As a corollary, we obtain a new proof of the classical Czerniakiewicz–Makar Limanov theorem on the isomorphism of the groups and for the case of characteristic 0.
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