Abstract
We obtain a necessary and sufficient condition for a given collection of elements to freely generate a free associative algebra. We present some necessary conditions for primitivity of an element of a free associative algebra of rank 2.
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Roman´kov, V.A. The Inverse Function Theorem for Free Associative Algebras. Siberian Mathematical Journal 45, 969–973 (2004). https://doi.org/10.1023/B:SIMJ.0000042484.83993.9c
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DOI: https://doi.org/10.1023/B:SIMJ.0000042484.83993.9c