Preserving zeros of a polynomial

A. E. Guterman; B. Kuzma

doi:10.1080/00927870802545687

Preserving zeros of a polynomial

A. E. Guterman, B. Kuzma

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We study nonlinear surjective mappings on M_n(F) and its subsets, which preserve the zeros of some fixed polynomials in noncommuting variables.

Original language	English
Pages (from-to)	4038-4064
Number of pages	27
Journal	Communications in Algebra
Volume	37
Issue number	11
DOIs	https://doi.org/10.1080/00927870802545687
State	Published - Nov 2009
Externally published	Yes

Bibliographical note

Funding 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.

Keywords

Matrix algebra
Multilinear polynomials
Preservers

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10.1080/00927870802545687

Cite this

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KW - Preservers

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Preserving zeros of a polynomial

Abstract

Bibliographical note

Keywords

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