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A cancellation conjecture for free associative algebras |
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| Authors: | Vesselin Drensky Jie-Tai Yu |
| Institution: | Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria ; Department of Mathematics, The University of Hong Kong, Hong Kong SAR, China |
| Abstract: | We develop a new method to deal with the Cancellation Conjecture of Zariski in different environments. We prove the conjecture for free associative algebras of rank two. We also produce a new proof of the conjecture for polynomial algebras of rank two over fields of zero characteristic. |
| Keywords: | Cancellation Conjecture of Zariski algebras of rank two polynomial algebras free associative algebras centralizers Jacobians algebraic dependence |
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