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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 4, Pages 79–86 (Mi ivm9107)  

This article is cited in 4 scientific papers (total in 4 papers)

On similarity classes of second order matrices with zero trace over the ring of integers

S. V. Sidorov

N. I. Lobachevskii State University of Nizhni Novgorod, 23 Gagarina ave., Nizhni Novgorod, 603950 Russia
Full-text PDF (210 kB) Citations (4)
References:
Abstract: In this paper we consider the problem of similarity of matrices over integers and describe canonical representatives of the similarity classes of $2\times2$ matrices with zero trace and determinant equal to an odd power of a prime number.
Keywords: similarity of matrices, the ring of integers, canonical matrices.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-06249
Received: 29.09.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 4, Pages 65–71
DOI: https://doi.org/10.3103/S1066369X16040101
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: S. V. Sidorov, “On similarity classes of second order matrices with zero trace over the ring of integers”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 4, 79–86; Russian Math. (Iz. VUZ), 60:4 (2016), 65–71
Citation in format AMSBIB
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\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2016
\issue 4
\pages 79--86
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\vol 60
\issue 4
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Linking options:
  • https://www.mathnet.ru/eng/ivm9107
  • https://www.mathnet.ru/eng/ivm/y2016/i4/p79
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:259
    Full-text PDF :111
    References:74
    First page:47
     
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