|
|||||
|
|
A cancellation conjecture for free associative algebras |
|
| Authors: | Vesselin Drensky Jie-Tai Yu |
| Affiliation: | 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 |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |