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Chebyshevskii Sbornik, 2020, Volume 21, Issue 3, Pages 84–88
DOI: https://doi.org/10.22405/2226-8383-2018-21-3-84-88 (Mi cheb929) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Representing matrices over fields as square-zero matrices and diagonal matrices

P. Danchev

Institute of Mathematics and Informatics, Bulgarian Academy of Sciences (Sofia, Bulgaria)
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DOI: https://doi.org/10.22405/2226-8383-2018-21-3-84-88
Abstract: We prove that any square matrix over an arbitrary infinite field is a sum of a square-zero matrix and a diagonalizable matrix. This result somewhat contrasts recent theorem due to Breaz, published in Linear Algebra & Appl. (2018).
Keywords: matrices, rational form, diagonal form, nilpotents.
Funding agency Grant number
Bulgarian National Science Fund KP-06 No 32/1
The work of the author on this paper was partially supported by the Bulgarian National Science Fund under Grant KP-06 No 32/1 of December 07, 2019.
Document Type: Article
UDC: 51
Language: English
Citation: P. Danchev, “Representing matrices over fields as square-zero matrices and diagonal matrices”, Chebyshevskii Sb., 21:3 (2020), 84–88
Citation in format AMSBIB
\Bibitem{Dan20}
\by P.~Danchev
\paper Representing matrices over fields as square-zero matrices and diagonal matrices
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 3
\pages 84--88
\mathnet{http://mi.mathnet.ru/cheb929}
\crossref{https://doi.org/10.22405/2226-8383-2018-21-3-84-88}
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  • https://www.mathnet.ru/eng/cheb/v21/i3/p84
    • This publication is cited in the following 1 articles:
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