We study nonlinear surjective mappings on Mn(F) and its subsets, which preserve the zeros of some fixed polynomials in noncommuting variables.
Bibliographical noteFunding Information:
The work is supported by a joint Russian-Slovenian grant BI-RU/08-09-009. Also the research of the first author was supported by the grant from Russian Ministry of Science and Technology, MD-2535.2009.1, and RFFI grant 08-01-00693a. The research of the second author was partially supported by grants from the Ministry of Science of Slovenia.
- Matrix algebra
- Multilinear polynomials