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The Inverse Function Theorem for Free Associative Algebras |
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| Authors: | Roman´kov V A |
| Institution: | (1) Omsk State University, Russia |
| 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. |
| Keywords: | free associative algebra endomorphism automorphism free derivation primitive element the set of free generators |
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