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Matematicheskie Zametki, 2019, Volume 105, Issue 5, Pages 763–770
DOI: https://doi.org/10.4213/mzm11859 (Mi mzm11859) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Similarity of Certain Integer Matrices with Single Eigenvalue over the Ring of Integers

S. V. Sidorov

Lobachevski State University of Nizhni Novgorod
Full-text PDF (454 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm11859
Abstract: The problem of the similarity of integer matrices with single eigenvalue over the ring of integers is considered. A criterion for a matrix to be similar to a Jordan block is obtained. In addition, a similarity criterion for matrices whose minimal polynomial has degree 2 is obtained.
Keywords: similarity of matrices, Jordan form, Smith normal diagonal form, ring of integers.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-06249
This work was supported by the Russian Foundation for Basic Research under grant 15-01-06249.
Received: 12.11.2017
Revised: 16.07.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 5, Pages 756–762
DOI: https://doi.org/10.1134/S0001434619050122
Bibliographic databases:
Document Type: Article
UDC: 512.64
Language: Russian
Citation: S. V. Sidorov, “On the Similarity of Certain Integer Matrices with Single Eigenvalue over the Ring of Integers”, Mat. Zametki, 105:5 (2019), 763–770; Math. Notes, 105:5 (2019), 756–762
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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