Mathematics – Rings and Algebras
Scientific paper
2007-06-14
Guterman, A. E.; Kuzma, B. Preserving zeros of a polynomial. Comm. Algebra 37 (2009), no. 11, 4038--4064.
Mathematics
Rings and Algebras
33 pages
Scientific paper
We study non-linear surjective mappings on subsets of ${\cal M}_n(F)$, which
preserve the zeros of some fixed polynomials in noncommuting variables.
Keywords: Matrix algebra, Multilinear polynomials, Preservers.
Guterman Alexander
Kuzma Bojan
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