A cancellation conjecture for free associative algebras
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- by Vesselin Drensky and Jie-Tai Yu PDF
- Proc. Amer. Math. Soc. 136 (2008), 3391-3394 Request permission
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.References
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Additional Information
- Vesselin Drensky
- Affiliation: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
- MR Author ID: 59730
- Email: drensky@math.bas.bg
- Jie-Tai Yu
- Affiliation: Department of Mathematics, The University of Hong Kong, Hong Kong SAR, China
- Email: yujt@hkucc.hku.hk, yujietai@yahoo.com
- Received by editor(s): June 9, 2006
- Received by editor(s) in revised form: July 14, 2006, and October 31, 2006
- Published electronically: May 22, 2008
- Additional Notes: The research of the first author was partially supported by the Grant MI-1503/2005 of the Bulgarian National Science Fund
The research of the second author was partially supported by an RGC-CERG Grant - Communicated by: Birge Huisgen-Zimmermann
- © Copyright 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 3391-3394
- MSC (2000): Primary 16S10; Secondary 13B10, 13F20, 14R10, 16W20
- DOI: https://doi.org/10.1090/S0002-9939-08-09111-9
- MathSciNet review: 2415020