Preserving zeros of a polynomial

A. E. Guterman; B. Kuzma

doi:10.1080/00927870802545687

Preserving zeros of a polynomial

A. E. Guterman
, B. Kuzma

Lomonosov Moscow State University
University of Primorska
Institute of Mathematics, Physics, and Mechanics

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.

Funding

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.

Funders	Funder number
Ministry of Science of Slovenia
Russian Ministry of Science and Technology	MD-2535.2009.1
Russian Foundation for Fundamental Investigations	08-01-00693a

Keywords

Matrix algebra
Multilinear polynomials
Preservers

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10.1080/00927870802545687

Cite this

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

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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.",

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

KW - Matrix algebra

KW - Multilinear polynomials

KW - Preservers

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Preserving zeros of a polynomial

Abstract

Bibliographical note

Funding

Keywords

Access to Document

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