The Jacobian Conjecture for the free associative algebra (of arbitrary characteristic)
https://doi.org/10.22405/2226-8383-2019-20-3-390-393
Abstract
The object of this note is to use PI-theory to simplify the results of Dicks and Lewin [4] on the automorphisms of the free algebra F{X}, namely that if the Jacobian is invertible, then every endomorphism is an epimorphism. We then show how the same proof applies to a somewhat wider class of rings.
References
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Review
For citations:
Belov-Kanel A.Ya., Rowen L., Jie-Tai Yu. The Jacobian Conjecture for the free associative algebra (of arbitrary characteristic). Chebyshevskii Sbornik. 2019;20(3):390-393. https://doi.org/10.22405/2226-8383-2019-20-3-390-393
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